- G. Matsumoto, K. Aihara, and T. Utsunomiya: "A Spatially-Ordered Pacemaker Observed in Squid Giant Axons," Journal of the Physical Society of Japan, Vol.51, No.3, pp.942-950 (1982).
- K. Aihara and G. Matsumoto: "Temporally Coherent Organization and Instabilities in Squid Giant Axons," Journal of Theoretical Biology, Vol.95, No.4, pp.697-720 (1982).
- K. Aihara and G. Matsumoto: "Two Stable Steady States in the Hodgkin-Huxley Axons," Biophysical J., Vol.41, No.1, pp.87-89 (1983).
- G. Matsumoto, K. Aihara, M. Ichikawa, and A. Tasaki: "Periodic and Nonperiodic Responses of Membrane Potentials in Squid Giant Axons During Sinusoidal Current Stimulation," Journal of Theoretical Neurobiology, Vol.3, No.1, pp.1-14 (1984).
- K. Aihara, G. Matsumoto, and Y. Ikegaya: "Periodic and Non-Periodic Responses of a Periodically Forced Hodgkin-Huxley Oscillator," Journal of Theoretical Biology, Vol.109, No.2, pp.249-269 (1984).
- K. Aihara, G. Matsumoto, and M. Ichikawa: "An Alternating Periodic-Chaotic Sequence Observed in Neural Oscillators," Physics Letters, Vol.111A, No.5, pp.251-255 (1985).
- K. Aihara, T. Numajiri, G. Matsumoto, and M. Kotani: "Structures of Attractors in Periodically Forced Neural Oscillators," Physics Letters A, Vol.116, No.7, pp.313-317 (1986).
- G. Matsumoto, K. Aihara, Y. Hanyu, N. Takahashi, S. Yoshizawa, and J. Nagumo: "Chaos and Phase Locking in Normal Squid Axons," Physics Letters A, Vol.123, No.4, pp.162-166 (1987).
- H. Fujita and K. Aihara: "Application of the PDP Model with a Logistic Activation Function to Immune Networks," The Transaction of the IEICE, Vol.E72, No.4, pp.416-421 (1989).
- K. Aihara, T. Takabe, and M. Toyoda: "Chaotic Neural Networks," Physics Letters A, Vol.144, No.6/7, pp.333-340 (1990).
- T. Ikeguchi, K. Aihara, S. Itoh, and T. Utsunomiya: "An Analysis on Lyapunov Spectrum of Electroencephalographic (EEG) Potentials," The Transaction of the IEICE, Vol.E73, No.6, pp.842-847 (1990).
- K. Judd, A. I. Mees, K. Aihara, and M. Toyoda: "Grid Imaging for a Two-Dimensional Map," International J. of Bifurcations and Chaos, Vol.1, No.1, pp.197-210 (1991).
- T. Ikeguchi, K. Aihara, and T. Matozaki: "The f(α) Spectrum of a Chaotic Neuron Model," The Transaction of the IEICE, Vol.E74, No.6, pp.1476-1478 (1991).
- T. Nagai, T. Yamamoto, H. Katayama, M. Adachi and K. Aihara: "A Novel Method to Analyse Response Patterns of Taste Neurons by Artificial Neural Networks," Neuro Reports, Vol.3, No.9, pp.745-748 (1992).
- A. Mees, K. Aihara, M. Adachi, K. Judd, T. Ikeguchi and G. Matsumoto: "Deterministic Prediction and Chaos in Squid Axon Response," Physics Letters A, Vol.169, pp.41-45 (1992).
- K.T. Judd and K. Aihara: "The Role of Dynamics in Information Processing by the Brain," Concepts in Neuroscience, Vol.3, No.2, pp.123-133 (1992).
- K.T. Judd and K. Aihara: "Pulse Propagation Networks : A Neural Network Model That Uses Temporal Coding by Action Potentials," Neural Networks, Vol.6, No.2, pp.203-215 (1993).
- N. Kanou, Y. Horio, K. Aihara and S. Nakamura: "A Current-Mode Circuit of a Chaotic Neuron Model," IEICE Trans. Fundamentals, Vol.E76-A, No.4, pp.642-644 (1993).
- N. Kanou, Y. Horio, K. Aihara and S. Nakamura : “A Current-Mode Implementation of a Chaotic Neuron Model Using a SI Integrator”, IEICE Trans. Fundamentals, Vol. E77-A, No. 1, pp. 335-338 (1994).
- K. Sakai and K. Aihara: “Nonlinear Vibrations in an Agricultural Implement System”, International J. of Bifurcation and Chaos, Vol. 4, No. 2, pp. 465-470 (1994).
- T. Nagai, H. Katayama, K. Aihara and T. Yamamoto: “Pruning of Rat Cortical Taste Neurons by an Artificial Neural Network Model”, J. Neurophysiology, Vol. 74, No. 3, pp. 1010-1019 (1995).
- T. Ikeguchi and K. Aihara : “Prediction of Chaotic Time Series with Noise”, IEICE. Trans. Fundamentals, Vol. E78-A, No. 10, pp. 1291-1298 (1995).
- K. Aihara and R. Katayama : “Chaos Engineering in Japan”, Communications of the ACM, Vol. 38, No. 11, pp. 103-107 (1995).
- L. Chen and K. Aihara : “Chaotic Simulated Annealing by a Neural Network Model with Transient Chaos”, Neural Networks, Vol. 8, No. 6, pp. 915-930 (1995).
- I. Tokuda, R. Tokunaga and K. Aihara : “A Simple Geometrical Structure Underlying Speech Signals of the Japanese Vowel /a/”, International Journal of Bifurcation and Chaos, Vol. 6, No. 1, pp. 149-160 (1996).
- T. Tanaka, K. Aihara and M. Taki : “Lyapunov Exponents of Random Time Series”, Physical Review E, Vol. 54, No. 2, 2122-2124 (1996-8). +S. Ogawa, T. Ikeguchi, T. Matozaki and K. Aihara : “Nonlinear Modeling by Radial Basis Function Networks”, IEICE Trans. Fundamentals, Vol. E79-A, No. 10, pp. 1608-1617 (1996-10).
- M. Hasegawa, T. Ikeguchi, T. Matozaki and K. Aihara : “Improving Image Segmentation by Chaotic Neurodynamics”, IEICE Trans. Fundamentals, Vol. E79-A, No. 10, 1630-1637 (1996-10).
- H. Fujii, H. Ito, K. Aihara, N. Ichinose and M. Tsukada : “Dynamical Cell Assembly Hypothesis-Theoretical Possibility of Spatio-Temporal Coding in the Cortex”, Neural Networks, Vol. 9, No. 8, pp. 1303-1350 (1996-11).
- M. Adachi and K. Aihara : “Associative Dynamics in a Chaotic Neural Network”, Neural Networks, Vol. 10, No. 1, pp. 83-98 (1997-1).
- M. Hasegawa, T. Ikeguchi, K. Aihara and T. Matozaki : “An Analysis on Addtive Effects of Nonlinear Neural Dynamics for the Combinatorial Optimization”, IEICE Trans. Fundamentals, Vol. E80-A, No. 1, pp. 206-213 (1997-1).
- T. Ikeguchi and K. Aihara : “Estimating Correlation Dimensions of Biological Time Series with a Reliable Method”, J. of Intelligent & Fuzzy Systems, Vol. 5, No. 1, pp. 33-52 (1997-3).
- T. Yamada and K. Aihara : “Nonlinear Neurodynamics and Combinatorial Optimization in Chaotic Neural Networks”, J. of Intelligent & Fuzzy Systems, Vol. 5, No. 1, pp. 53-68 (1997-3).
- T. Ikeguchi and K. Aihara : “Difference Correlation Can Distinguish Deterministic Chaos from 1/fα-type Colored Noise”, Physical Review E, Vol. 55, No. 3, pp. 2530-2538 (1997-3).
- T. Ikeguchi and K. Aihara : “On Dimension Estimates with Surrogate Data Sets”, IEICE Trans. Fundamentals, Vol. E80-A, No. 5, pp. 859-868 (1997-5).
- T. Ikeguchi and K. Aihara : “Lyapunov Spectral Analysis on Random Data”, International Journal of Bifurcation and Chaos, Vol. 7, No. 6, pp. 1267-1282 (1997).
- L. Chen and K. Aihara : “Chaos and Asymptotical Stability in Discrete-time Neural Networks”, Physica D, Vol. 104, pp. 286-325 (1997).
- I. Tokuda, T. Nagashima and K. Aihara : “Global Bifurcation Structure of Chaotic Neural Networks and its Application to Traveling Salesman Problems”, Neural Networks, Vol. 10, No. 9, pp. 1673-1690 (1997-12).
- M. Hasegawa, T. Ikeguchi and K. Aihara : “Combination of Chaotic Neurodynamics with the 2-opt Algorithm to Solve Traveling Salesman Problems”, Physical Review Letters, Vol. 79, No. 12, pp. 2344-2347 (1997-9).
- M. Watanabe and K. Aihara : “Chaos in Neural Networks Composed of Coincidence Detector Neurons”, Neural Networks, Vol. 10, No. 8, pp. 1353-1359 (1997).
- T. Tanaka, K. Aihara and M. Taki : “Analysis of Positive Lyapunov Exponents from Random Time Series”, Physica D, Vol. 111, pp. 42-50 (1998).
- S. Murashige and K. Aihara : “Experimental Study on Chaotic Motion of a Flooded Ship in Waves”, Proc. Roy. Soc. London, Vol. 454, pp. 2537-2553 (1998). .
- M. Watanabe, K. Aihara and S. Kondo : “A Dynamical Neural Network with Temproal Coding and Functional Connectivity”, Biol. Cybern., Vol. 78, pp. 87-93 (1998).
- N. Ichinose, K. Aihara and K. Judd : “Extending the concept of isochrons from oscillatory to excitable systems for modeling an excitable neuron”, Int. J. of Bifurcation and Chaos, Vol. 8, No. 12, pp. 2375-2385 (1998).
- S. Murashige and K. Aihara : “Coexistence of Periodic Roll Motion and Chaotic One in a Forced Flooded Ship”, Int. J. of Bifurcation and Chaos, Vol. 8, No. 3, pp. 619-626 (1998).
- K. Aihara and N. Ichinose : “Modeling and Complexity in Neural Networks”, to be published in J. of Artificial Life and Robotics.
- L. Chen and K. Aihara : “Globally Searching Ability of Chaotic Neural Networks”, to be published in IEEE Trans. CAS, Part 1.
- O. Araki and K. Aihara : “Dynamical Neural Network Model for Hippocampal Memory”, IEICE Trans. Fundamentals, Vol. E81-A, No. 9, pp. 1823-1832 (1998).
- Y. Sakumura and K. Aihara : “A Neuronal Time Window for Coincidence Detection”, IEICE Trans. Fundamentals, Vol. E81-A, No. 9, pp. 1818-1823 (1998).
- M. Hanagata, Y. Horio and K. Aihara : “Asynchronous Pulse Neural Network Model for VLSI Implementation”, IEICE Trans. Fundamentals, Vol. E81-A, No. 9, pp. 1853-1859 (1998).
- I. Tokuda, K. Aihara and T. Nagashima : “Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics”, Physical Review E, Vol. 58, No. 4, pp. 5157-5160 (1998).
- K. Aihara, T. Ikeguchi and G. Matsumoto : "Deterministic Nonlinear Dynamics of a Forced Oscillation Experimentally Observed with a Squid Giant Axon", International Journal of Chaos Theory and Applications, Vol. 3, No. 3, pp. 5-20 (1998).
- K. Aihara and N. Ichinose : "Modeling and Complexity in Neural Networks", J. of Artificial Life and Robotics, Vol. 3, pp. 148-154 (1999).
- S. Murashige, M. Komuro and K. Aihara : "Bifurcation and Resonance of a Mathematical Model for Nonlinear Motion of a Flooded Ship in Waves", Journal of Sound and Vibration, Vol. 220, No. 1, pp. 155-170 (1999).
- L. Chen and K. Aihara : "Global Searching Ability of Chaotic Neural Networks", IEEE Trans. on Circuits and Systems, Part I, Vol. 46, No. 8, pp. 974-993 (1999- 8).
- R. Herrera, K. Suyama, Y. Horio and K. Aihara : "IC Implementation of a Switched-Current Chaotic Neuron", IEICE Trans. Fundamentals, Vol. E82-A, No. 9, pp. 1776-1782 (1999-9).
- Y. Horio, K. Watarai and K. Aihara : "Nonlinear Resistor Circuits Using Capacitively Coupled Multi-Input MOSFETs", IEICE Trans. Fundamentals, Vol. E82-A, No. 9, pp. 1926-1936 (1999-9).
- M. Adachi and K. Aihara: "An Analysis of Instantaneous Stability of an Associative Chaotic Neural Network", International Journal of Bifurcation and Chaos, Vol.9, No.11, pp.2157-2163 (1999).
- K. Sakai and K. Aihara : "Bifurcation Structure of Vibrations in an Agricultural Tractor-Bibrating Subsoiler System", International Journal of Bifurcation and Chaos, Vol. 9, No. 10, pp.2091-2098 (1999).
- T. Miyano, S. Kimoto, H. Shibuta, K. Nakashima, Y. Ikenaga and K. Aihara : "Time series analysis and prediction on complex dynamical behavior observed in a blast furnace", Physica D, Vol. 135, pp. 305-330 (2000).
- H. Suzuki, K. Aihara, J. Murakami and T. Shimozawa : "Analysis of Neural Spike Trains with Interspike Interval Reconstruction", Biol. Cybern., Vol.82, pp.305-311 (2000).
- K. Kubota, Y. Maeda and K. Aihara : "A Study on the Dynamics of a Generalized Logistic Map", IEICE Trans. Fundamentals, Vol. E83-A, No. 3, pp. 524-531 (2000).
- W.K. Luk and K. Aihara: "Synchronization and Sensitivity Enhancement of the Hodgkin- Huxley Neurons due to Inhibitory Inputs", Biol. Cybern., Vol. 82, pp. 455-467 (2000).
- K. Judd and K. Aihara: "Generation, Recognition and Leaning of Recurrent Signals by Pulse Propagation Networks", International Journal of Bifurcation and Chaos, Vol. 10, No. 10, pp. 2415-2428 (2000).
- H. Nishimura N. Katada and K. Aihara : "Coherent Response in a Chaotic Neural Network", Neural Processing Letters, Vol.12, No.1, pp. 49-58 (2000).
- S. Murashige, T. Yamada and K. Aihara: "Nonlinear Analyses of Roll Motion of a Flooded Ship in Waves", Philosophical Transactions of the Royal Society, Series A (Mathematical, Physical and Engineering Sciences), Vol. 358, pp. 1793-1812 (2000).
- G. Froyland and K. Aihara: "Rigorous Numerical Estimation of Lyapunov Exponents and Invariant Measures of Iterated Function Systems and Random Matrix Products", International Journal of Bifurcation and Chaos, Vol. 10, No. 1, pp. 103-122 (2000).
- M. Hasegawa, T. Ikeguchi and K. Aihara: "Exponential and Chaotic Neurodynamical Tabu Searches for Quadratic Assignment Problems", Control and Cybernetics, Vol. 29, No. 3, pp. 774-788 (2000).
- T. Miyano, A. Nagami, I. Tokuda and K. Aihara: "Detecting Nonlinear Determinism in Voiced Sounds of Japanese Vowel /a/", International Journal of Bifurcation and Chaos, Vol. 10, No. 8, pp. 1973-1979 (2000).
- L. Chen and K. Aihara: "Strange Attractors in Chaotic Neural Networks", IEEE Transactions on Circuits and Systems - I: Fundamental Theory and Applications, Vol. 47, No. 10, pp. 1455-1468 (2000).
- H. Matsuda, M. Tsukada, T. Aihara, M, Tatsuno and K. Aihara : "Chaotic Stimulus Dependent Long-term Potentiation in the Hippocampal CA1 Area", Biosystems, Vol. 58, pp. 273-279 (2000).
- M. Watanabe, Y.Takahashi and K. Aihara: "Associative Memory Model with Temporal Coding and Active Dendrite", Biosystems, Vol. 58, No. 1-3, pp. 259-263 (2000).
- I. Tokuda, T. Yanai and K. Aihara: "Reconstruction of Chaotic Dynamics via a Network of Stochastic Resonance Neurons and its Application to Speech", Artificial Life and Robotics, Vol. 5, pp. 33-39 (2001).
- G. Froyland and K. Aihara: "Estimating Statistics of Neuronal Dynamics via Markov Chains", Biol. Cybern., Vol. 84, pp. 31-40 (2001).
- L. Chen and K. Aihara: "Stability and Bifurcation Analysis of Differential - Difference - Algebraic Equations", IEEE Trans. Circuits and Systems - I: Fundamental Theory and Applications, Vol. 48, No. 3, pp. 308-326 (2001).
- M. Watanabe, K. Nakanishi and K. Aihara: "Solving the Binding Problem of the Brain with Bi-directional Functional Connectivity", Neural Networks, Vol. 14, pp. 395-406 (2001).
- M. Komuro and K. Aihara : "Hierarchical Structure among Invariant Subspaces of Chaotic Neural Networks", Japan Journal of Industrial and Applied Mathematics, Vol. 18, No. 2, pp. 335-357 (2001).
- J. Kuroiwa, S. Nara and K. Aihara: "Response Properties of a Single Chaotic Neuron to Stochastic Inputs", International Journal of Bifurcation and Chaos, Vol. 11, No. 5, pp. 1447-1460 (2001).
- N. Ichinose and K. Aihara: "Detection of Mutual Determinism between a Pair of Spike Trains", Biological Cybernetics, Vol. 85, pp. 327-333 (2001).
- O. Araki and K. Aihara: "Dual Information Representation with Stable Firing Rates and Chaotic Spatiotemporal Spike Patterns in a Neural Network Model", Neural Computation, Vol. 13, No. 12, pp.2799-2822 (2001).
- N. Masuda and K. Aihara: "Synchronization of Pulse-coupled Excitable Neurons", Physical Review E, Vol. 64, 051906, pp. 1-13 (2001).
- J.K. Ryeu, K. Aihara and I. Tsuda: "Fractal Encoding in a Chaotic Neural Network", Physical Review E, Vol. 64, 046202, pp. 1-6 (2001).
- H. Kitajima, T. Yoshinaga, K. Aihara and H. Kawakami: "Chaotic Bursts and and Bifurcation in Chaotic Neural Networks with Ring Structure", International Journal of Bifurcation and Chaos, Vol. 11, No. 6, pp. 1631-1643 (2001).
- I. Tokuda, T. Miyano and K. Aihara: "Surrogate Analysis for Detecting Nonlinear Dynamics in Normal Vowels", Journal of the Acoustical Society of America, Vol. 110, No. 6, pp. 3207-3217 (2001).
- K. Aihara and J.K. Ryeu: "Chaotic Neurons and Analog Computation" Behavioral and Brain Sciences, Vol. 24, No. 5, pp. 810-811 (2001).
- H. Ito and K. Aihara: "Combination of the Actor/Critic Algorithm with Goal-Directed Reasoning, and the Appearance and Disappearance of Hierarchical Structure", submitted to Artificial Life and Robotics.
- Y. Sakumura and K. Aihara : "Stochastic Resonance and Coincidence Detection in Single Neurons", Neural Processing Letters, Vol. 16, No. 3, pp. 235-242 (2002-12).
- R. Nanba, M. Hasegawa, T. Nisita and K. Aihara: "Optimization using Chaotic Neural Networks and its Application to Lighting Design", Control and Cybernetics, Vol. 31, No. 2, pp. 249-269 (2002).
- N. Masuda and K. Aihara: "Dynamical Characteristics of Discretized Chaotic Permutations", International Journal of Bifurcation and Chaos, Vol. 12, No. 10, pp. 2087-2103 (2002).
- L. Chen and K. Aihara: "A Model of Periodic Oscillations for Generic Regulatory Systems", IEEE Trans. CAS-I, Vol. 49, No. 10, pp. 1429-1436 (2002).
- K. Aihara and I. Tokuda : "Possible Neural Coding with Inter-Event Intervals of Synchronous Firing", Phys. Rev. E, Vol. 66, 026212 (2002).
- K. Aihara: "Chaos Engineering and its Application to Parallel Distributed Processing with Chaotic Neural Networks", Proceedings of the IEEE, Vol. 90, No. 5, 919-930 (2002).
- N. Masuda and K. Aihara: "Cryptosystems with Discretized Chaotic Maps", IEEE Trans. CAS 1, Vol. 49, No. 1, pp. 28-40 (2002).
- J. Matsuoka, Y. Sekine, K. Saeki, and K. Aihara: "Analog Hardware Implementation of a Mathematical Model of an Asynchronous Chaotic Neuron", IEICE Trans. Fundamentals, Vol. E85-A, No. 2, pp. 389-394 (2002-2).
- Z. Wang, and K. Aihara: "A Fuzzy-Like Phenomenon in Chaotic Autoassociative Memory", IEICE Trans. Fundamentals, Vol. E85-A, No. 3, pp. 714-722 (2002-3).
- T. Iwamoto, Y. Jimbo, and K. Aihara: "Extracting Temporal Firing Patterns of Neurons from Noisy Data", IEICE Trans. Fundamentals, Vol. E85-A, No. 4, pp. 892-902 (2002-4).
- L. Chen and K. Aihara: "Stability of Genetic Regulatory Networks with Time Delay", IEEE Trans. Circuits and Systems - I: Fundamental Theory and Applications, Vol. 49, No. 5, pp. 602-608 (2002).
- N. Masuda and K. Aihara: "Spatiotemporal Spike Encoding of a Continuous External Signal", Neural Computation, Vol. 14, pp. 1599-1628 (2002).
- M. Hasegawa, T. Ikeguchi and K. Aihara: "A Novel Chaotic Search for Quadratic Assignment Problems", European Journal of Operational Research, Vol. 139, pp. 543-556 (2002).
- M. Hasegawa, T. Ikeguchi and K. Aihara: "Solving Large Scale Traveling Salesman Problems by Chaotic Neurodynamics", Neural Networks, Vol. 15, pp. 271-283 (2002).
- N. Masuda and K. Aihara: "Bridging Rate Coding and Temporal Spike Coding by Effect of Noise", Physical Review Letters, Vol. 88, No. 24, 248101 (2002).
- Y. Shinohara, T. Kanamaru, H. Suzuki, T. Horita and K. Aihara: "Array-enhanced Coherence Resonance and Forced Dynamics in Coupled Fitz Hugh-Nagumo Neurons with Noise", Physical Review E, Vol. 65, 051906 (2002).
- K. Mitsubori and K. Aihara: "Delayed-feedback Control of Chaotic Roll Motion of a Flooded Ship in Waves", Proceedings of the Royal Society of London, Series A, Vol. 458, pp. 2801-2813 (2002).
- M.A.F. Sanju'an, T. Horita and K. Aihara: "Opening a Closed Hamiltonian Map", Chaos, Vol. 13, No. 1, pp.17-24 (2003-3).
- N. Masuda and K. Aihara: "Duality of Rate Coding and Temporal Coding in Multilayered Feedforward Networks", Neural Computation, Vol. 15, pp. 103-125 (2003).
- G. Tanaka and K. Aihara: "Bifurcation Structures of Period-adding Phenomena in an Ocean Internal Wave Model," International Journal of Bifurcation and Chaos, Vol. 13, No. 11, pp.3409-3424 (2003).
- H. Kitajima, T. Yoshinaga, K. Aihara and H. Kawakami: "Itinerant Memory Dynamics and Global Bifurcations in Chaotic Neural Networks," Chaos, Vol. 13, No. 3, pp. 1122-1132 (2003).
- M. Watanabe, T. Masuda, and K. Aihara: "Forward Propaagating Reinforcement Learning -- Biologically Plausible Learning Method for Multi-Layer Networks," Bio Systems, Vol. 71, pp. 213-220 (2003).
- Y. Horio, K. Aihara, and O. Yamamoto: "Neuron-Synapse IC Chip-Set for Large-Scale Chaotic Neural Networks," IEEE Trans. Neural Networks, Vol. 14, No. 5, pp. 1393-1404 (2003).
- Z. Wang and K. Aihara: "A Fuzzy-Like Phenomenon in a Dynamic Neural Network," IEICE Trans. Fundamentals, Vol. E86-A, No. 8, pp. 2125-2135 (2003).
- N. Masuda and K. Aihara: "Spatial Prisoner's Dilemma Optimally Played in Small-world Networks," Physics Letters A, Vol. 313, pp. 55-61 (2003).
- K. Tsumoto, T. Yoshinaga, K. Aihara and H. Kawakami: "Bifurcations in Synaptically Coupled Hodgkin-Huxley Neurons with a Periodic Input," International Journal of Bifurcation and Chaos, Vol. 13, No. 3, pp. 653-666 (2003).
- H. Itoh, H. Nakahara, O. Hikosaka, R. Kawagoe, Y. Takikawa, and K. Aihara: "Correlation of Primate Caudate Neural Activity and Saccade Parameters in Reward-Oriented Behavior," J. Neurophysiol., Vol. 89, pp. 1774-1783 (2003).
- N. Masuda and K. Aihara: "Filtered Interspike Interval Encoding by Class II Neurons," Physics Letters A, Vol. 311, pp. 485-490 (2003).
- H. Takahashi and K. Aihara: "Algorithmic Analysis of Irrational Rotations in a Single Neuron Model," J. Complexity, Vol. 19, pp. 132-152 (2003).
- N. Masuda and K. Aihara: "Ergodicity of Spike Trains: When Does Trial Averaging Make Sense?," Neural Computation, Vol. 15, pp. 1341-1372 (2003).
- T. Kobayashi, L. Chen, and K. Aihara: "Modeling Genetic Switches with Positive Feedback Loops", J. Theor. Biol., Vol. 221, No. 3, pp. 379-399 (2003-4).
- Y. Ono, H. Suzuki, and K. Aihara: "Grazing Bifurcation and Mode-locking in Reconstructing Chaotic Dynamics with a Leaky Integrate-and-fire Model", Artificial Life and Robotics, Vol. 7, pp. 55-62 (2003).
- I. Tokuda, R. Tokunaga, and K. Aihara: "Back-Propagation Learning of Infinite-Dimensional Dynamical Systems", Neural Networks, Vol. 16, pp. 1179-1193 (2003).
- K. Hamaguchi, K. Aihara: "Quantitative Information Transfer through layers of Spiking Neurons Connected by Mexican-Hat-type Connectigvity," Neurocomputing, Vol. 58, No. 60, pp. 85-90 (2004).
- Y. Morishita and K. Aihara: "Noise-Reduction through Interaction in Gene Expression and Biochemical Reaction Processes", Journal of Theoretical Biology, Vol. 228, pp. 315-325 (2004).
- N. Masuda and K. Aihara: "Global and Local Synchrony of Coupled Neurons in Small-world Networks", Biological Cybernetics, Vol. 90, pp. 302-309 (2004).
- N. Masuda, N. Konno, and K. Aihara: "Transmission of Severe Acute Respiratory Syndrome in Dynamical Small-world Networks", Physical Review E, Vol. 69, 031917-1-6 (2004).
- H. Suzuki, K. Aihara and T. Okamoto: "Complex Behaviour of a Simple Partial-discharge Model", Europhysics Letters, Vol. 66, No. 1, pp. 28-34 (2004).
- T. Okamoto, M. Watanabe, K. Aihara, and S. Kondo: "An Explanation of Contextual Modulation by Short-range Isotropic Connections and Orientation Map Geometry in the Primary Visual Cortex," Biological Cybernetics, Vol.91, No.6, pp.396-407 (2004).
- H. Tanaka and K. Aihara: "Analysis of the Hodgkin-Huxley Equations with Noise: the Effects of Noise on Chaotic Neurodynamics," Artificial Life and Robotics, Vol.8, pp.190-196 (2004).
- N. Masuda, and K. Aihara: "Dual Coding and Effects of Global Feedback in Multilayered Neural Networks," Neurocomputing, Vol. 58, No. 60, pp. 33-39 (2004).
- S. Tsuji, T. Ueta, H. Kawakami, and K. Aihara: "A Design Method of Bursting using Two-parameter Bifurcation Diagrams in Fitzhugh-Nagumo Model," International Journal of Bifurcation and Chaos, Vol. 14, No. 7, pp. 2241-2252 (2004).
- M. Watanabe and K. Aihara: "A Network of Coincidence Detector Neurons with Periodic and Chaotic Dynamics," IEEE Transactions on Neural Networks, Vol. 15, No. 5, pp. 980-986 (2004-9).
- L. Chen, R. Wang, T.J. Kobayashi, and K. Aihara: "Dynamics of Gene Regulatory Networks with Cell Division Cycle," Physical Review E, Vol. 70, 011909-1-12 (2004).
- K. Aihara, I. Tsuda and H. Fujii: "Prologue - The Pioneering Work of the Late Professor Gen Matsumoto," Journal of Integrative Neuroscience, Vol. 3, No. 2, pp. 111-113 (2004).
- H. Fujii, K. Aihara, and I. Tsuda : "Functional Relevance of `Excitatory' GABA Actions in Cortical Interneurons: A Dynamical Systems Approach," Journal of Integrative Neuroscience, Vol. 3, No. 2, pp. 183-205 (2004).
- R. Tomioka, H. Kimura, T.J. Kobayashi and K. Aihara: "Multivariate Analysis of Noise in Genetic Regulatory Networks," Journal of Theoretical Biology, Vol. 229, pp. 501-521 (2004).
- J. Kuroiwa, N. Masutani, S. Nara, and K. Aihara: "Sensitive Response of a Chaotic Wandering State to Memory Fragment Inputs in a Chaotic Neural Network Model," International Journal of Bifurcation and Chaos, Vol. 14, No. 4, pp.1413-1421 (2004).
- N. Masuda and K. Aihara: "Self-organizing Dual Coding based on Spike-Time-Dependent Plasticity," Neural Computation, Vol.16, pp.627-663 (2004).
- T. Toyoizumi, J.-P. Pfister, K. Aihara, and W. Gerstner: "Generalized Bienenstock-Cooper-Munro Rule for Spiking Neurons that Maximizes Information Transmission," Proceedings of the National Academy of Sciences of the United States of America, Vol. 102, pp. 5239-5244 (2005).
- Y. Horio, T. Taniguchi and K. Aihara: "An Asynchronous Spiking Chaotic Neuron Integrated Circuit," Neurocomputing, Vol. 64, pp. 447-472 (2005).
- G. Tanaka, M.A.F. Sanju'an, and K. Aihara: "Crisis-induced Intermittency in Two Coupled Chaotic Maps: Towards Understanding Chaotic Itinerancy," Physical Review E, Vol. 71, 016219-1-11 (2005).
- L. Chen, R. Wang, T. Zhou, and K. Aihara: "Noise-induced Cooperative Behavior in a Multi-Cell System," Bioinformatics, Vol.21, pp.2722-2729 (2005-6).
- K. Hamaguchi, M. Okada, M. Yamana, and K. Aihara: "Correlated Firing in a Feedforward Network with Mexican-Hat-Type Connectivity," Neural Computation, Vol.17, No.9, pp.2034-2059 (2005).
- K. Hamaguchi, M. Okada, S. Kubota, and K. Aihara: "Stochastic Resonance of Localized Activity Driven by Common Noise," Biological Cybernetics, Vol.92, No.6, pp.438-444 (2005).
- H. Suzuki, S. Ito and K. Aihara: "Double rotations," Discrete and Continuous Dynamical Systems, Vol.13, pp.515-532 (2005).
- T. Kohno and K. Aihara: "A MOSFET-based model on a Class--2 type of Nerve Membrane," IEEE Transactions on Neural Networks, Vol.16, No.3, pp.754-773 (2005).
- Y. Morishita, T. Kobayashi, and K. Aihara: "Evaluation of the Performance of Mechanisms for Noise Attenuation in a Single-gene Expression," Journal of Theoretical Biology, Vol.235, pp.241-264 (2005).
- K. Morita, K. Tsumoto, and K. Aihara: "Possible Effects of Depolarizing GABAA Conductance on the Neuronal Input-Output Relationship: A Modeling Study," Journal of Neurophysiology, Vol.93, pp.3504-3523 (2005).
- K. Morita and K. Aihara: "A Network Model with Pyramidal Cells and GABAergic Non-FS Cells in the Cerebral Cortex,” Neurocomputing, Vols.65-66, pp.697-707 (2005).
- S. Kubota and K. Aihara: "Analyzing Global Dynamics of a Neural Field Model," Neural Processing Letters, Vol.21, pp.133-141 (2005).
- T. Fushiki, F. Komaki, and K. Aihara: "Nonparametric Bootstrap Prediction," Berboulli, Vol.11, No.2, pp.293-307 (2005).
- Y. Horio, T. Taniguchi and K. Aihara: "An Asynchronous Spiking Chaotic Neuron Integrated Circuit," Neurocomputing, Vol.64, pp.447-472 (2005).
- G. Tanaka, M.A.F. Sanju'an, and K. Aihara: "Crisis-Induced Intermittency in Two Coupled Chaotic Maps: Towards Understanding Chaotic Itinerancy,” Physical Review E, Vol.71, 016219-1-11 (2005).
- N. Masuda, G. Jakimoski, K. Aihara, and L. Kocarev: "Chaotic Block Ciphers: From Theory to Practical Algorithms," IEEE Transactions on Circuit and Systems-I, Vol.53, No.6, pp.1341-1352 (2006).
- T. Toyoizumi and K. Aihara: "Generalization of the Mean-field Method for Power-law Distributions," International Journal of Bifurcation and Chaos, Vol.16, No.1, pp.129-135 (2006).
- D. Battogtokh, K. Aihara, and J.J. Tyson: "Synchronization of Eukaryotic Cells by Periodic Forcing," Physical Review Letters, Vol.96, No.14, 148102 (2006).
- K. Morita, K. Tsumoto, and K. Aihara: "Bidirectional Modulation of Neuronal Responses by Depolarizing GABAergic Inputs," Biophysical Journal, Vol.90, pp.1925-1938 (2006).
- G. Tanaka, B. Ibarz, M. A.F. Sanju'an, and K. Aihara: "Synchronization and Propagation of Bursts in Networks of Coupled Map Neurons," Chaos, Vol.16, No.1, 013113, (2006).
- K. Tsumoto, H. Kitajima, T. Yoshinaga, K. Aihara, and H. Kawakami: "Bifurcations in Morris-Lecar Neuron Model," Neurocomputing, Vol.69, No.4-6, pp.293-316 (2006).
- C. Li, L. Chen, and K. Aihara: "Stochastic synchronization of genetic oscillator networks," BMC Systems Biology, Vol.1, No.6, pp.1752-0509 (2007).
- Y. Sakisaka, K. Tainaka, N. Sugimine, J. Yoshimura, T. Hayashi, K. Aihara, T. Togashi, T. Miyazaki: "A Power Law for Extinction Process in Multiple Contact Process," Journal of the Physical Society of Japan, Vol.76, No.2, 023101 (2007).
- T. Toyoizumi, J. Pfister, K. Aihara, and W. Gerstner: "Optimality Model of Unsupervised Spike-Timing-Dependent Plasticity: Synaptic Memory and Weight Distribution," Neural Computation, Vol.19, No.3, pp.639-671 (2007).
- C. Li, L. Chen, and K. Aihara: "A Systems Biology Perspective on Signal Processing in Genetic Network Motifs," IEEE Signal Processing Magazine, Vol.24, pp.136-147 (2007).
- B. Ibarz, G. Tanaka, M.A.F. Sanju'an, and K. Aihara: "Sensitivity versus resonance in two-dimensional spiking-bursting neuron models," Physical Review E, Vol.75, 041902 (2007).
- M. Sekikawa, N. Inaba and K. Aihara: "Coexisting Two Canards and their Breakdown into Chaos in the van der Pol Oscillator under Weak Periodic Perturbation," Physics Letters A, Vol.363, No.5-6, pp.404-410 (2007).
- S. Tsuji, T. Ueta, H. Kawakami, H. Fujii, and K. Aihara: "Bifurcations in Two-dimensional Hindmarsh-Rose Type Model," International Journal of Bifurcation and Chaos, Vol.17, No.3, pp.985-998 (2007).
- G. Tanaka and K. Aihara: "Collective Skipping: Aperiodic Phase Locking in Ensembles of Bursting Oscillators," Europhysics Letters, Vol.78, No.1, 10003 (2007).
- N. Masuda and K. Aihara: "Dual Coding Hypotheses for Neural Information Representation," Mathematical Biosciences, Vol.207, pp.312-321 (2007).
- H. Ando, S. Boccaletti, and K. Aihara: "Automatic control and tracking of periodic orbits in chaotic systems," Physical Review E, Vol.75, 066211 (2007).
- H. Tanaka, T. Morie and K. Aihara: "A CMOS circuit for STDP with a symmetric time window," International Congress Series, Vol.1301, pp.152-155 (2007).
- K. Morita, M. Okada, and K. Aihara: "Selectivity and Stability via Dendritic Nonlinearity," Neural Computation, Vol.19, No.7, pp.1798-1853 (2007).
- N. Masuda, M. Okada, and K. Aihara: "Filtering of Spatial Bias and Noise Inputs by Spatially Structured Neural Networks," Neural Computation, Vol.19, No.7, pp.1854-1870 (2007).
- D. P. Mandic, S. L. Goh, and K. Aihara: "Sequential Data Fusion via Vector Spaces: Fusion of Heterogeneous Data in the Complex Domain," The Journal of VLSI Signal Processing, Vol.48, No.1-2, pp.99-108 (2007).
- Z. Wang, H. Fan, and K. Aihara: "An associative network with chaotic neurons and dynamic synapse," International Journal of Bifurcation and Chaos, Vol.17, No.9, pp.3085-3097 (2007).
- K. Hamaguchi, M. Okada, and K. Aihara: "Variable Time Scales of Repeated Spike Patterns in Synfire Chain with Mexican-Hat Connectivity," Neural Computation, Vol.19, No.9, pp.2468-2491 (2007).
- M. Aono, M. Hara, and K. Aihara: "Amoeba-based neurocomputing with chaotic dynamics," Communications of the ACM, Vol.50, No.9, pp.69-72 (2007).
- K. Fujiwara, H. Fujiwara, M. Tsukada, K. Aihara: "Reproducing Bursting Interspike Interval Statistics of the Gustatory Cortex," Biosystems, Vol.90, No.2, pp.442-448 (2007).
- M. Funabashi and K. Aihara: "Modeling Birdsong Learning with a Chaotic Elman Network," Journal of Artificial Life and Robotics, Vol.11, No.2, pp.162-166 (2007).
- T. Shimada, Y. Murase, S. Yukawa, N. Ito, and K. Aihara: "A simple model of evolving ecosystems," Journal of Artificial Life and Robotics, Vol.11, No.2, pp.153-156 (2007).
- K. Fujiwara and K. Aihara: "Classification of the spike sequences by discriminating their sources of temporal correlations," Journal of Artificial Life and Robotics, Vol.11, No.2, pp.167-170 (2007).
- T. Koshizen, M. Kon, H. Prendinger, Y. Hasegawa, K. Aihara, and H. Tsujino: "User interest estimation using cross-modal computation," International Journal of Computational Intelligence Research, Vol.3, No.3, pp 177-191 (2007).
- N. Sugimine and K. Aihara: "Stability of an Equilibrium State in a Multi-infectious-type SIS Model on a Truncated Network," Journal of Artificial Life and Robotics, Vol.11, pp.157-161 (2007).
- M. D. Shrimali, S. Sinha, and K. Aihara: "Asynchronous updating induces order in threshold coupled systems," Physical Review E, Vol.76, 046212 (2007).
- C. Li, L. Chen, K. Aihara: "Stochastic Stability of Genetic Networks with Disturbance Attenuation," IEEE Transactions on Circuits and Systems II, Vol.54, No.10, pp.892-896 (2007).
- R. Wang, L. Chen and K. Aihara: "Detection of cellular rhythms and global stability within interlocked feedback systems," Mathematical Biosciences, Vol.209, No.1, pp.171-189 (2007).
- Y. Hirata, S. Horai, H. Suzuki, and K. Aihara: "Testing Serial Dependence by Random-shuffle Surrogates and the Wayland Method," Physics Letters A, Vol.370, No.3-4, pp.265-274 (2007).
- I. Aihara, S. Horai, H. Kitahata, K. Aihara, and K. Yoshikawa: "Dynamical calling behavior experimentally observed in Japanese tree frogs (Hyla japonica),'' IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E90-A, No.10, pp.2154-2161 (2007).
- G. He, M. D. Shrimali, and K. Aihara: "Partial State Feedback Control of Chaotic Neural Network and its Application," Physics Letters A, Vol.371, No.3, pp.228-233 (2007).
- Y. Sato, T. Toyoizumi, and K. Aihara: "Bayesian Inference Explains Perception of Unity and Ventriloquism Aftereffect: Identification of Common Sources of Audiovisual Stimuli," Neural Computation, Vol.19, No.12, pp.3335-3355 (2007).
- K Aihara: Chaos in neurons, Scholarpedia, 3(5):1786 (2008)
- Yong Xie, Kazuyuki Aihara, and Yan Mei Kang: "Change in types of neuronal excitability via bifurcation control," Physical Review E, Vol.77, 021917-1-8 (2008).
- Xing-Ming Zhao, Luonan Chen, and Kazuyuki Aihara: " Protein Function Prediction with the Shortest Path in Functional Linkage Graph and Boosting," International Journal of Bioinformatics Research and Applications, Vol.4, pp.375-384 (2008).
- Xing-Ming Zhao, Yong Wang, Luonan Chen, and Kazuyuki Aihara: "Gene Function Prediction using Labeled and Unlabeled Data," BMC Bioinformatics, Vol.9, No.57 (2008).
- Yoshito Hirata, Danilo P. Mandic, Hideyuki Suzuki, and Kazuyuki Aihara: "Wind Direction Modelling using Multiple Observation Points," Philosophical Transactions of the Royal Society A, Vol.366, pp. 591-607 (2008).
- Kenji Morita, Rita Kalra, Kazuyuki Aihara, and Hugh P.C. Robinson: "Recurrent Synaptic Input and the Timing of Gamma-frequency-modulated Firing of Pyramidal Cells During Neocortical "UP" States," Journal of Neuroscience, Vol.28, pp.1871-1881 (2008).
- Takashi Kohno and Kazuyuki Aihara: "Mathematical-model-based Design of Silicon Burst Neurons," Neurocomputing, Vol.71, No.7-9, pp.1619-1628 (2008).
- Xing-Ming Zhao, Luonan Chen, Kazuyuki Aihara: "Protein Classification with Imbalanced Data," Proteins: Structure, Function, and Bioinformatics, Vol.70, No.4, pp.1125-1132 (2008).
- Guoguang He, Manish Dev Shrimali and Kazuyuki Aihara: "Threshold Activated Control of Chaotic Neural Network," Neural Networks, Vol.21, pp.114-121 (2008).
- Munehisa Sekikawa, Naohiko Inaba, Takashi Tsubouchi, and Kazuyuki Aihara: "Analysis of Torus Breakdown into Chaos in a Constraint Duffing van der Pol Oscillator," International Journal of Bifurcation and Chaos, Vol.18, No.4, pp.1051-1068 (2008).
- Hirokazu Tozaki, Tetsuya J. Kobayashi, Hiroyuki Okano, Ryo Yamamoto, Kazuyuki Aihara, and Hidenori Kimura: "Reconstructing the Single-cell-level Behavior of a Toggle Switch from Population-level Measurements," FEBS Letter, Vol.582, No.7, pp.1067-1072 (2008).
- Makito Oku and Kazuyuki Aihara: "A Mathematical Model of Planning in the Prefrontal Cortex," Artificial Life and Robotics, Vol.12, No.1-2, pp.227-231 (2008).
- Nobuaki Sugimine, Naoki Masuda, Norio Konno, and Kazuyuki Aihara: "On Global and Local Critical Points of Extended Contact Process on Homogeneous Trees," Mathematical Bioscience, Vol.213, No.1, pp.13-17 (2008).
- Xing-Ming Zhao, Rui-Sheng Wang, Luonan Chen, and Kazuyuki Aihara: "Uncovering Signal Transduction Networks from High-throughput Data by Integer Linear Programming," Nucleic Acids Research, Vol.36, No.9, e48 (2008).
- Masahiro Kawasaki, Masataka Watanabe, Jiro Okuda, Masamichi Sakagami, and Kazuyuki Aihara: "Human Posterior Parietal Cortex Maintains Color, Shape and Motion in Visual Short-term Memory," Brain Research, Vol.1213, pp.91-97 (2008).
- Yong Xie, Luonan Chen, Yan Mei Kang, and Kazuyuki Aihara: "Controlling the Onset of Hopf Bifurcation in the Hodgkin-Huxley Model," Physical Review E, Vol.77, 061921 (2008).
- Xing-Ming Zhao, Yong Wang, Luonan Chen, and Kazuyuki Aihara: "Protein Domain Annotation with Predicted Domain-Domain Interaction Networks," Protein and Peptide Letters, Vol.15, No.5, pp.456-462 (2008).
- Chunguang Li, Luonan Chen, and Kazuyuki Aihara: "Impulsive Control of Stochastic Systems with Applications in Chaos Control, Chaos Synchronization, and Neural Networks," Chaos, Vol.18, No.2, 023132 (2008).
- Manish Dev Shrimali, Sudeshna Sinha, and Kazuyuki Aihara: "Asynchronous Updating of Threshold-coupled Chaotic Neurons," Pramana-Journal of Physics, Vol.70, No.6, pp.1127-1134 (2008).
- Hiroyasu Ando, Sudeshna Sinha, and Kazuyuki Aihara: "Emergent Organization of Oscillator Clusters in Coupled Self-regulatory Chaotic Maps," Pramana-Journal of Physics, Vol.70, No.6, pp.1153-1164 (2008).
- Yoshihiko Horio and Kazuyuki Aihara: "Analog Computation through High-dimensional Physical Chaotic Neuro-dynamics," Physica D, Vol.237, No.9, pp.1215-1225 (2008).
- Yoshito Hirata, Yuichi Katori, Hidetoshi Shimokawa, Hideyuki Suzuki, Timothy A. Brenkinsop, Eric J. Lang, and Kazuyuki Aihara: "Testing a Neural Coding Hypothesis using Surrogate Data," Journal of Neuroscience Methods, Vol.172, pp.312-322 (2008).
- Bing Wang, Kazuyuki Aihara, and Luonan Chen: "Jamming in Weighted Scale-free Gradient Networks," Europhysics Letters, Vol.83, pp.28006 (2008).
- Xing-Ming Zhao, Yong Wang, Luonan Chen, and Kazuyuki Aihara: "Protein Domain Annotation with Integration of Heterogeneous Information Sources," Proteins: Structure, Function, and Bioinformatics, Vol.72, No.1, pp.461--473 (2008).
- Takashi Shimada and Kazuyuki Aihara: "A Nonlinear Model with Competition between Prostate Tumor Cells and its Application to Intermittent Androgen Suppression Therapy of Prostate Cancer," Mathematical Biosciences, Vol.214, No.1/2, pp.134-139 (2008).
- Takahisa Ogino,Yoshihiko Horio and Kazuyuki Aihara: "Analysis of Chaotic Neural Network through Mutual Information in Solving Quadratic Assignment Problems," Journal of Signal Processing, Vol.12, No.4, pp.291-294 (2008).
- Hong Fan, Zhijie Wang, Takaaki Ohnishi, Hiroo Saito, and Kazuyuki Aihara: "Multicommunity Weight-driven Bipartite Network Model," Physical Review E, Vol.78, 026103-1-7 (2008).
- Takashi Kanamaru and Kazuyuki Aihara: "[[Stochastic Synchrony of Chaos in a Pulse-Coupled Neural Network with Both Chemical and Electrical Synapses Among Inhibitory Neurons>http://www.mitpressjournals.org/doi/abs/10.1162/neco.2008.05-07-516#.VJEtRSusV8E," Neural Computation, Vol.20, pp.1951-1972 (2008).
- Hiromichi Suetani, Tatsuo Yanagita and Kazuyuki Aihara: "PULSE DYNAMICS IN COUPLED EXCITABLE FIBERS: SOLITON-LIKE COLLISION, PHASE LOCKING, AND RECOMBINATION," International Journal of Bifurcation and Chaos, Vol. 18, No. 8 pp.2289-308 (2008).
- Guoguang He, Luonan Chen, and Kazuyuki Aihara: "Associative Memory With a Controlled Chaotic Neural Network," Neurocomputing, Vol.71, pp.2794--2805 (2008).
- Ruiqi Wang, Chunguang Li, Luonan Chen, and Kazuyuki Aihara: "Modeling and Analyzing Biological Oscillations in Molecular Networks," Proceedings of the IEEE, Vol.96, pp.1361-1385 (2008).
- Kazuhiro Sakamoto, Hajime Mushiake, Naohiro Saito, Kazuyuki Aihara, Masafumi Yano, and Jun Tanji: "Discharge Synchrony during the Transition of Behavioral Goal Representations Encoded by Discharge Rates of Prefrontal Neurons," Cerebral Cortex, Vol.18, No.9, pp.2036-2045 (2008).
- Gouhei Tanaka, Kunichika Tsumoto, Shigeki Tsuji, and Kazuyuki Aihara: "Bifurcation Analysis on a Hybrid Systems Model of Intermittent Hormonal Therapy for Prostate Cancer," Physica D, Vol.237, No.20, pp.2616-2627 (2008).
- Xing-Ming Zhao, Luonan Chen, and Kazuyuki Aihara: "Protein function prediction with high-throughput data," Amino Acids, Vol.35, No.3, pp.517-530 (2008).
- Hideyuki Suzuki and Kazuyuki Aihara: "Universality in Mathematical Modeling: A Comment on Surprising Dynamics From a Simple Model," Mathematics Magazine, Vol.81, pp.291-294 (2008).
- Yoshito Hirata, Sunsuke Horai, and Kazuyuki Aihara: "Reproduction of distance matrices and original time series from recurrence plots and its applications," European Physical Journal Special Topics, Vol.164, pp.13-22 (2008).
- Tatsuo Yanagita, Hiromichi Suetani, and Kazuyuki Aihara: "Bifurcation Analysis of Solitary and Synchronized Pulses and Formation of Reentrant Waves in Laterally Coupled Excitable Fibers," Physical Review E, Vol.78, 056208-1-11 (2008)
- Aiko Miyamura Ideta, Gouhei Tanaka, Takumi Takeuchi, and Kazuyuki Aihara: "A Mathematical Model of Intermittent Androgen Suppression for Prostate Cancer," Journal of Nonlinear Science, Vol.18, pp.593-641 (2008).
- Munehisa Sekikawa, Takashi Kohno, and Kazuyuki Aihara: "An Integrated Circuit Design of a Silicon Neuron and its Measurement Results," Artificial Life and Robotics, Vol.13, No.1, pp.116-119 (2008).
- Makito Oku and Kazuyuki Aihara: "Networked Reinforcement Learning," Artificial Life and Robotics, Vol.13, No.1, pp.112-115 (2008).
- Xing-Ming Zhao, Luonan Chen, and Kazuyuki Aihara: "[[Protein Function Prediction with the Shortest Path in Functional Linkage Graph and Applications, Vol.4, pp.375-384 (2008). Boosting>http://inderscience.metapress.com/content/585vm3m11068171t/]]," International Journal of Bioinformatics Research and
- Qian Guo, Youshan Tao, Kazuyuki Aihara: "Mathematical Modelling of Prostate Tumor Growth under Intermittent Androgen Suppression with Partial Differential Equations," International Journal of Bifurcation and Chaos, Vol.18, No.12, pp.3789-3797 (2008).
- Natsuhiro Ichinose, Tetsushi Yada, Osamu Gotoh and Kazuyuki Aihara: "Reconstruction of Transcription-translation Dynamics with a Model of Gene Networks," Journal of Theoretical Biology, Vol.255, No.4, pp.378-386 (2008).
- D.P. Mandic, S. Javidi, S.L. Goh, A. Kuh, K. Aihara: "Complex-valued Prediction of Wind Profile using Augmented Complex Statistics ," Renewable Energy, Vol.34, No.1, pp.196-201 (2009).
- Hong Fan, Zhijie Wang, Luonan Chen, Kazuyuki Aihara: "Feedback Mechanism in Network Dynamics with Preferential Flow," Physical Review E, Vol.79, 026107 (2009).
- Masashi Aono, Yoshito Hirata, Masahiko Hara, and Kazuyuki Aihara: "Amoeba-based Chaotic Neurocomputing: Combinatorial Optimization by Coupled Biological Oscillators," New Generation Computing, Vol.27, No.2, pp.129-157 (2009).
- Yuta Kakimoto and Kazuyuki Aihara: "Hierarchical Spatio-Temporal Dynamics of a Chaotic Neural Network for Multistable Binocular Rivalry," New Mathematics and Natural Computation, Vol.5, No.1, pp.123-134 (2009).
- Kantaro Fujiwara and Kazuyuki Aihara: "Trial-to-trial Variability and its Influence on Higher Order Statistics," Journal of Artificial Life and Robotics, Vol.13, No.2, pp.470-473 (2009).
- Kantaro Fujiwara and Kazuyuki Aihara: "Time-varying Irregularities in Multiple Trial Spike Data," European Physical Journal B, Vol.68, No.2, pp.283-289 (2009).
- Xing-Ming Zhao, Rui-Sheng Wang, Luonan Chen, Kazuyuki Aihara: "Automatic Modeling of Signaling Pathways by Network Flow Model," Journal of Bioinformatics and Computational Biology, Vol.7, No.2, pp.309-322 (2009).
- Bing Wang, Yuexing Han, Luonan Chen, Kazuyuki Aihara: "Limited Ability Driven Phase Transitions in the Coevolution Process in Axelrod's Model," Physics Letters A, Vol.373, pp.1519-1523 (2009).
- Evan Monroig, Kazuyuki Aihara, and Yozo Fujino: "Modeling Dynamics from only Output Data," Physical Review E, Vol.79, 056208 (2009).
- Daisuke Atuti, Takashi Morie, and Kazuyuki Aihara: "A Current-Sampling-Mode CMOS Arbitrary Chaos Generator Circuit Using Pulse Modulation Approach," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, Vol.E92A, No.5, pp.1308-1315 (2009).
- Koh Hashimoto and Kazuyuki Aihara: "Fixation Probabilities in Evolutionary Game Dynamics with a Two-strategy Game in Finite Diploid Populations," Journal of Theoretical Biology, Vol.258, pp.637-645 (2009).
- Hideki Tanaka, Takashi Morie, and Kazuyuki Aihara: "A CMOS Spiking Neural Network Circuit with Symmetric/Asymmetric STDP Function," IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E92-A, No.7, pp.1690-1698 (2009).
- Isao Nishikawa, Naofumi Tsukamoto, Kazuyuki Aihara: "Switching Phenomenon Induced by Breakdown of Chaotic Phase Synchronization," Physica D, Vol.238, pp.1197-1202 (2009).
- Gouhei Tanaka, Shigeki Tsuji, and Kazuyuki Aihara: "Grazing-induced Crises in Hybrid Dynamical Systems," Physics Letters A, Vol.373, pp.3134-3139 (2009).
- Gouhei Tanaka and Kazuyuki Aihara: "Complex-Valued Multistate Associative Memory With Nonlinear Multilevel Functions for Gray-Level Image Reconstruction," IEEE Transactions on Neural Networks, Vol.20, No.9, pp.1463-1473 (2009).
- Shigeru Kubota, Kosuke Hamaguchi, and Kazuyuki Aihara: "Local Excitation Solutions in One-dimensional Neural Fields by External Input Stimuli," Neural Computing \& Applications, Vol.18, No.6, pp.591-602 (2009).
- Bing Wang, Kazuyuki Aihara, Beom Jun Kim: "Comparison of Immunization Strategies in Geographical Networks," Physics Letters A, Vol.373, pp.3877-3882 (2009).
- Hajime Mushiake, Kazuhiro Sakamoto, Naohiro Saito, Toshiro Inui, Kazuyuki Aihara, and Jun Tanji: "Involvement of the Prefrontal Cortex in Problem Solving," International Review of Neurobiology, Vol.85, pp.1-11 (2009).
- Yasushi Miyagi, Tsuyoshi Okamoto, Takato Morioka, Shozo Tobimatsu, Yoshitaka Nakanishi, Kazuyuki Aihara, Kimiaki Hashiguchi, Nobuya Murakami, Fumiaki Yoshida, Kazuhiro Samura, Shinji Nagata, and Tomio Sasaki: "Spectral Analysis of Field Potential Recordings by Deep Brain Stimulation Electrode for Localization of Subthalamic Nucleus in Patients with Parkinson's Disease," Stereotact Funct Neurosurg, Vol.87, No.4, pp.211-218 (2009).
- Hironori Asai, Shunsuke Iwamori, Kentaro Kawai, Shigeki Ehira, Jun-ichi Ishihara, Kazuyuki Aihara, Shuichi Shoji, Hideo Iwasaki: "Cyanobacterial Cell Lineage Analysis of the Spatiotemporal hetR Expression Profile during Heterocyst Pattern Formation in Anabaena sp. PCC 7120," PLoS One, Vol.4, No.10, e7371 (2009).
- Yoshito Hirata and Kazuyuki Aihara: "Representing Spike Trains using Constant Sampling Intervals," Journal of Neuroscience Methods, Vol.183, No.2, pp.277-286 (2009).
- Yoshito Hirata and Kazuyuki Aihara: "Indentifying Hidden Common Causes from Bivariate Time Series: A Method using Recurrence Plots," Physical Review E, Vol.81, No.1, 016203-1-7 (2010).
- Yoshito Hirata, Masashi Aono, Masahiko Hara, and Kazuyuki Aihara: "Spontaneous Mode Switching in Coupled Oscillators Competing for Constant Amounts of Resources," Chaos, Vol.20, 013117 (2010).
- Youshan Tao, Qian Guo and Kazuyuki Aihara: "A Mathematical Model of Prostate Tumor Growth Under Hormone Therapy with Mutation Inhibitor," Journal of Nonlinear Science, Vol.20, No.2, pp.131-275 (2010).
- Xing-Ming Zhao, Luonan Chen, and Kazuyuki Aihara: "A Discriminative Approach for Identifying Domain-domain Interactions from Protein-protein Interactions," Proteins, Vol.78, No.5, pp.1243-1253 (2010).
- Yoshito Hirata, Nicholas Bruchovsky, and Kazuyuki Aihara: "Development of a Mathematical Model that Predicts the Outcome of Hormone Therapy for Prostate Cancer," Journal of Theoretical Biology, Vol.264, pp.517-527 (2010).
- Takashi Kanamaru and Kazuyuki Aihara: "Roles of Inhibitory Neurons in Rewiring-Induced Synchronization in Pulse-Coupled Neural Networks," Neural Computation, Vol.22, No.5, pp.1383-1398 (2010).
- Masashi Aono, Masahiko Hara, Kazuyuki Aihara, and Toshinori Munakata: "Amoeba-Based Emergent Computing: Combinatorial Optimization and Autonomous Meta-Problem Solving," International Journal of Unconventional Computing, Vol.6, pp.89-108 (2010).
- Toshinori Munakata, Jun Takahashi, Munehisa Sekikawa, and Kazuyuki Aihara: "Chaos Computing: A Unified View," International Journal of Parallel, Emergent and Distributed Systems, Vol.25, No.1, pp.3-16 (2010).
- Yuichi Katori, Eric J. Lang, Miho Onizuka, Mitsuo Kawato, and Kazuyuuki Aihara: "Quantitative Modeling of Spatio-temporal Dynamics of Inferior Olive Neurons with a Simple Conductance-based Model," International Journal of Bifurcation and Chaos, Vol.20, No.3, pp.583-603 (2010).
- Yoshito Hirata, Nicholas Bruchovsky, and Kazuyuki Aihara:"Development of a Mathematical Model that Predicts the Outcome of Hormone Therapy for Prostate Cancer," Journal of Theoretical Biology, Vol.264, pp.517-527 (2010).
- Masashi Aono, Yoshito Hirata, Masahiko Hara, and Kazuyuki Aihara: "A Model of Amoeba-based Neurocomputer," Journal of Computer Chemistry, Japan, Vol.9, No.3, pp.143-156 (2010).
- Yoshito Hirata and Kazuyuki Aihara: "Devaney's Chaos on Recurrence Plots," Physical Review E, Vol.82, No.3, 036209-1-6 (2010).
- Gouhei Tanaka, Yusuke Okada, and Kazuyuki Aihara: "Phase Transitions in Mixed Populations Composed of Two Types of Self-oscillatory Elements with Different Periods," Physical Review E, Vol.82, No.3, 035202(R) (2010).
- Nathan W. Gouwens, Hugo Zeberg, Kunichika Tsumoto, Takashi Tateno, Kazuyuki Aihara, and Hugh P.C. Robinson: "Synchronization of Firing in Cortical Fast-Spiking Interneurons at Gamma Frequencies: A Phase-Resetting Analysis," PLoS Computational Biology, Vol.6, No.9, e1000951 (2010).
- Isao T. Tokuda, Cheol E. Han, Kazuyuki Aihara, Mitsuo Kawato, Nicolas Schweighofer: "The Role of Chaotic Resonance in Cerebellar Learning," Neural Networks, Vol.23, No.7, pp.836-842 (2010).
- Makito Oku and Kazuyuki Aihara: "Dynamical Inter-region Coupling in the Brain: A Meso-scopic Model from a Dynamical Systems Viewpoint," Nonlinear Theory and Its Applications, IEICE, Vol.1, No.1, pp.79-88 (2010).
- Satoshi Suzuki, Yoshito Hirata, and Kazuyuki Aihara: "Definition of Distance for Marked Point Process Data and its Application to Recurrence Plot-based Analysis of Exchange Tick Data of Foreign Currencies," International Journal of Bifurcation and Chaos, Vol.20, No.11, pp.3699-3708 (2010).
- Kazuyuki Aihara and Hideyuki Suzuki: "Theory of Hybrid Dynamical Systems and its Applications to Biological and Medical Systems," Philosophical Transactions of Royal Society A, Vol.368, No.1930, pp.4893-4914 (2010).
- Gouhei Tanaka, Yoshito Hirata, Larry Goldenberg, Nicholas Bruchovsky, and Kazuyuki Aihara: "Mathematical Modelling of Prostate Cancer Growth and its Application to Hormone Therapy," Philosophical Transactions of Royal Society A, Vol.368, No.1930, pp.5029-5044 (2010).
- Taiji Suzuki, Nicholas Bruchovsky, and Kazuyuki Aihara: "Piecewise Affine Systems Modelling for Optimizing Hormone Therapy of Prostate Cancer," Philosophical Transactions of Royal Society A, Vol.368, No.1930, pp.5045-5059 (2010).
- Makito Oku and Kazuyuki Aihara: "Noise-robust Realization of Turing-complete Cellular Automata by using Neural Networks with Pattern Representation," Physics Letters A, Vol.374, pp.4859-4863 (2010).
- Terumi Nakai, Yoshito Hirata, Shunsuke Horai, Michio Akagi, and Kazuyuki Aihara: "Firm Evidence of Chaos for Heartbeats in Dogs under Constant Flow Ventilation," Internationl Journal of Bifurcation and Chaos, Vol.20, No.12, pp.4151-4158 (2010).
- Masanori Shiro, Yoshito Hirata, and Kazuyuki Aihara: "Failure of Pseudo-periodic Surrogates," Artificial Life and Robotics, Vol.15, No.4, pp.496-499 (2010).
- Yoshito Hirata, Mario di Bernardo, Nicholas Bruchovsky, and Kazuyuki Aihara:"Hybrid Optimal Scheduling for Intermittent Androgen Suppression of Prostate Cancer," Chaos, Vol.20, No.4, 045125 (2010).
- Bing Wang, Lang Cao, Hideyuki Suzuki, and Kazuyuki Aihara: "Epidemic Spread in Adaptive Networks with Multitype Agents," Journal of Physics A: Mathematical and Theoretical, Vol.44, No.3, 035101 (2011).
- Hiroyasu Ando, Sudeshna Sinha, Remo Storni, and Kazuyuki Aihara: "Synthetic Gene Networks as Potential Flexible Parallel Logic Gates," Europhysics Letters, Vol.93, No.5, 50001-p1-p6 (2011).
- Lang Cao, Hisashi Ohtsuki, Bing Wang and Kazuyuki Aihara: "Evolution of Cooperation on Adaptively Weighted Networks," Journal of Theoretical Biology, Vol.272, No.1, pp.8-15 (2011).
- Yoshito Hirata, Yuko Shimo, Hiroshi L. Tanaka, and Kazuyuki Aihara: "Chaotic Properties of the Arctic Oscillation Index," Scientific Online Letters on the Atmosphere (SOLA), Vol.7, pp.33-36 (2011).
- Ikkyu Aihara, Ryu Takeda, Takeshi Mizumoto, Takuma Otsuka, Toru Takahashi, Hiroshi G. Okuno, and Kazuyuki Aihara: "Complex and Transitive Synchronization in a Frustrated System of Calling Frogs," Physical Review E, Vol.83, 031913 (2011).
- Yoshito Hirata and Kazuyuki Aihara: "Statistical Tests for Serial Dependence and Laminarity on Recurrence Plots," International Journal of Bifurcation and Chaos, Vol.21, No.4, pp.1077-1084 (2011).
- Yang Chen and Kazuyuki Aihara: "Some Convex Functions Based Measures of Independence and Their Application to Strange Attractor Reconstruction," Entropy, Vol.13, No.4, pp.820-840 (2011).
- Yoshiyuki Sato and Kazuyuki Aihara: "A Bayesian Model of Sensory Adaptation," PLoS ONE, Vol.6, No.4, e19377 (2011).
- Zhijie Wang, Hong Fan, and Kazuyuki Aihara: "Three Synaptic Components Contributing to Robust Network Synchronization," Physical Review E, Vol.83, No.5, 051905 (2011).
- Kai Morino, Gouhei Tanaka, and Kazuyuki Aihara: "Robustness of multilayer oscillator networks," Physical Review E, Vol.83, No.5, 056208 (2011).
- C. Cheong Took, G. Strbac, K. Aihara, D.P. Mandic: "Quaternion-valued Short-term Joint Forecasting of Three-dimensional Wind and Atmospheric Parameters," Renewable Energy, Vol.36, No.6, pp.1754-1760 (2011).
- Kunichika Tsumoto, Gen Kurosawa, Tetsuya Yoshinaga, and Kazuyuki Aihara: "Modeling Light Adaptation in Circadian Clock: Prediction of the Response That Stabilizes Entrainment," PLoS ONE, Vol.6, No.6, e20880 (2011).
- Takeshi Mizumoto, Ikkyu Aihara, Takuma Otsuka, Ryu Takeda, Kazuyuki Aihara, and Hiroshi G. Okuno: "Sound Imaging of Nocturnal Animal Calls in their Natural Habitat," Journal of Comparative Physiology A, Vol.197, No.9, pp.915-921 (2011).
- Tsuyoshi Okamoto, Koji Ikezoe, Hiroshi Tamura, Masataka Watanabe, Kazuyuki Aihara, and Ichiro Fujita: "Predicted Contextual Modulation Varies with Distance from Pinwheel Centers in the Orientation Preference Map," Scientific Reports, Vol.1, No.114, pp.1-11 (2011).
- Graziano Chesi, Luonan Chen, and Kazuyuki Aihara: "On the robust stability of time-varying uncertain genetic regulatory networks," International Journal of Robust and Nonlinear Control, Vol.21, pp.1778-1790 (2011).
- Lang Cao, Xun Li, Bing Wang, and Kazuyuki Aihara: "Rendezvous Effects in the Diffusion Process on Bipartite Metapopulation Networks," Physical Review E, Vol.84, No.4, 041936 (2011).
- Yuichi Katori, Kazuhiro Sakamoto, Naohiro Saito, Jun Tanji, Hajime Mushiake, Kazuyuki Aihara: "Representational Switching by Dynamical Reorganization of Attractor Structure in a Network Model of the Prefrontal Cortex," PLoS Computational Biology, Vol.7, No.11, e1002266, pp.1-17 (2011).
- Hiroaki Kuramae, Yoshito Hirata, Nicholas Bruchovsky, Kazuyuki Aihara, and Hideyuki Suzuki: "Nonlinear Systems Identification by Combining Regression with Bootstrap Resampling," Chaos, Vol.21, No.4, 043121-1-12 (2011).
- Shinji Nakaoka and Kazuyuki Aihara: "Mathematical Study on Kinetics of Hematopoietic Stem Cells --Theoretical Conditions for Successful Transplantation," Journal of Biological Dynamics, Vol.6, No.2, pp.836-854 (2012).
- Yang Li, Ping Zhu, Xiaoping Xie, Guoguang He, and Kazuyuki Aihara: "Learning-induced Pattern Classification in a Chaotic Neural Network," Physics Letters A, Vol.376, pp.412-417 (2012).
- Gouhei Tanaka, Kai Morino, and Kazuyuki Aihara: "Dynamical Robustness in Complex Networks: The Crucial Role of Low-degree Nodes," Scientific Reports, Vol.2, No.232, pp.1-6 (2012).
- Yoshito Hirata and Kazuyuki Aihara: "Timing Matters in Foreign Exchange Markets," Physica A, Vol.391, No.3, pp.760-766 (2012).
- Remo Storni, Hiroyasu Ando, Kazuyuki Aihara, K. Murali, and Sudeshna Sinha: "Manipulating Potential Wells in Logical Stochastic Resonance to Obtain XOR Logic," Physics Letters A, Vol.376, No.8-9, pp.930-937 (2012).
- Yoshito Hirata, Gouhei Tanaka, Nicholas Bruchovsky and Kazuyuki Aihara: "Mathematically Modelling and Controlling Prostate Cancer under Intermittent Hormone Therapy," Asian Journal of Andrology, Vol.14, pp.270--277 (2012).
- L. Chen, R Liu, Z.-P. Liu, M. Li, and K. Aihara: “Detecting Early-warning Signals for Sudden Deterioration of Complex Diseases by Dynamical Network Biomarkers,” Scientific Reports, Vol.2, No.342, pp.1-8 (2012).
- Isao Nishikawa, Gouhei Tanaka, Takehiko Horita, and Kazuyuki Aihara: "Long-term Fluctuations in Globally Coupled Phase Oscillators with General Coupling: Finite Size Effects," Chaos, Vol.22, No.1, 013133-1-10 (2012).
- Keisuke Ejima, Ryosuke Omori, Kazuyuki Aihara, and Hiroshi Nishiura: "Real-time Investigation of Measles Epidemics with Estimate of Vaccine Efficacy," International Journal of Biological Sciences, Vol.8, No.5, pp.620-629 (2012).
- Takashi Kanamaru and Kazuyuki Aihara: "Rewiring-Induced Chaos in Pulse-Coupled Neural Networks," Neural Computation, Vol.24, No.4, pp.1020-1046 (2012).
- Takahito Mitsui, Seiji Uenohara, Takashi Morie, and Kazuyuki Aihara: "Torus-doubling Process via Strange Nonchaotic Attractors," Physics Letters A, Vol.376, No.24-25, pp.1907-1914(2012).
- Koji Iwayama, Yoshito Hirata, Kohske Takahashi, Katsumi Watanabe, Kazuyuki Aihara, and Hideyuki Suzuki: "Characterizing Global Evolutions of Complex Systems via Intermediate Network Representations," Scientific Reports, Vol.2, Article No.423, pp.1-5 (2012).
- Yoshito Hirata, Koichiro Akakura, Celestia S. Higano, Nicholas Bruchovsky, and Kazuyuki Aihara: "Quantitative Mathematical Modeling of PSA Dynamics of Prostate Cancer Patients Treated with Intermittent Androgen Suppression," Journal of Molecular Cell Biology, Vol.4, No.3, pp.127-132 (2012).
- Yoshito Hirata and Kazuyuki Aihara:"Describing High-dimensional Dynamics with Low-dimensional Piecewise Affine Models: Applications to Renewable Energy," Chaos, Vol.22, No.2, 023143-1-6 (2012).
- Makito Oku and Kazuyuki Aihara: "Numerical Analysis of Transient and Periodic Dynamics in Single and Coupled Nagumo-Sato Models," International Journal of Bifurcation and Chaos, Vol.22, No.6, 1230021-1-15 (2012).
- Munehisa Sekikawa, Naohiko Inaba, Takashi Tsubouchi, and Kazuyuki Aihara: "Novel Bifurcation Structure Generated in Piecewise-linear Three-LC Resonant Circuit and its Lyapunov Analysis," Physica D, Vol.241, No.14, pp.1169-1178 (2012).
- Masanori Ikeda, Yoshihiko Horio, Kazuyuki Aihara: "Improved Dynamical Logic Element with Chaotic State Transitions Using Switched-Capacitor Chaotic Neuron Circuit," Journal of Signal Processing, Vol.16, No.4, pp.291-294 (2012).
- Bing Wang, Lang Cao, Hideyuki Suzuki, and Kazuyuki Aihara: "Impacts of Clustering on Interacting Epidemics," Journal of Theoretical Biology, Vol.304, pp.121-130 (2012).
- Hiroyasu Ando, Hiromichi Suetani, Jürgen Kurths, and Kazuyuki Aihara: "Chaotic Phase Synchronization in Bursting-neuron Models Driven by a Weak Periodic Force," Physical Review E, Vol.86, No.1, 016205-1-11 (2012).
- Keisuke Ejima, Ryosuke Omori, Benjamin J. Cowling, Kazuyuki Aihara, and Hiroshi Nishiura: "The Time Required to Estimate the Case Fatality Ratio of Influenza Using Only the Tip of an Iceberg: Joint Estimation of the Virulence and the Transmission Potential," Computational and Mathematical Methods in Medicine, Vol.2012, 978901-1-10 (2012).
- Tohru Kohda, Yoshihiko Horio, Yoichiro Takahashi, and Kazuyuki Aihara: "Beta Encoders: Symbolic Dynamics and Electronic Implementation," International Journal of Bifurcation and Chaos, Vol.22, No.9, 1230031-1-55 (2012).
- Teerasit Termsaithong, Makito Oku, and Kazuyuki Aihara: "Dynamical Coherence Patterns in Neural Field Model at Criticality," Artificial Life and Robotics, Vol.17, No.1, pp.75-79 (2012).
- Ryo Yokota, Kazuyuki Aihara, R. Kanzaki, and H. Takahashi: "Tonotopic-column-dependent Variability of Neural Encoding in the Auditory Cortex of Rats," Neuroscience, Vol.223, pp.377-387 (2012).
- Hiroyuki Asahara, Kenichi Tasaki, Kazuyuki Aihara, and Takuji Kousaka: "The Stabilizing Mechanism for an Interrupted Dynamical System with Periodic Threshold," Nonlinear Theory and Its Applications, IEICE Vol.3, No.4, pp.546-556 (2012).
- Yuichi Katori, Yasuhiko Igarashi, Masato Okada, and Kazuyuki Aihara: "Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses," Journal of the Physical Society of Japan, Vol.81, pp.114007-1-7 (2012).
- Kiyohito Nagano and Kazuyuki Aihara: "Equivalence of Convex Minimization Problems Over Base Polytopes," Japan Journal of Industrial and Applied Mathematics (JJIAM), Vol.29, No.3, pp.519-534 (2012).
- Ken-ichi Sawai, Yoshiyuki Sato, and Kazuyuki Aihara: "Auditory Time-interval Perception as Causal Inference on Sound Sources," Frontiers in Perception Science, Vol.3, Article No.524, pp.1-8 (2012).
- Bing Wang, Lang Cao, Hideyuki Suzuki, and Kazuyuki Aihara: "Safety-information-driven Human Mobility Patterns with Metapopulation Epidemic Dynamics," Scientific Reports, Vol.2, Article No.887, pp.1-8 (2012).
- Rui Liu, Meiyi Li, Zhi-Ping Liu, Jiarui Wu, Luonan Chen, and Kazuyuki Aihara: "Identifying Critical Transitions and their Leading Biomolecular Networks in Complex Diseases," Scientific Reports, Vol.2, Article No.813, pp.1-9 (2012).
- Timothee Leleu and Kazuyuki Aihara: "Combined Effects of LTP/LTD and Synaptic Scaling in Formation of Discrete and Line Attractors with Persistent Activity from Non-trivial Baseline," Cognitive Neurodynamics, Vol.6, No.6, pp.499-524 (2012).
- Tohru Kohda, Yoshihiko Horio, and Kazuyuki Aihara: "β-expansion Attractors Observed in A/D Converters," AIP Chaos, Vol.22, No.4, 047512-1-18 (2012).
- Yoshito Hirata, Makito Oku, and Kazuyuki Aihara: "Chaos in Neurons and its Application: Perspective of Chaos Engineering," AIP Chaos, Vol.22, No.4, 047511-1-7 (2012).
- G. Tanaka and K. Aihara: "Effects of Seasonal Variation Patterns on Recurrent Outbreaks in Epidemic Models," Journal of Theoretical Biology, Vol.317, pp.87-95 (2013).
- T. Kanamaru, H. Fujii, and K. Aihara: "Deformation of Attractor Landscape via Cholinergic Presynaptic Modulations: A Computational Study Using a Phase Neuron Model," PLOS ONE, Vol.8, No.1, e53854, pp.1-14 (2013).
- H. Suzuki, J. Imura, and K. Aihara: "Chaotic Ising-like Dynamics in Traffic Signals," Scientific Reports, Vol.3, Article No.1127, pp.1-6 (2013).
- K. Fujimoto, M. Kobayashi, T. Yoshinaga, and K. Aihara: "Identification of Target Image Regions Based on Bifurcations of a Fixed Point in a Discrete-Time Oscillator Network," International Journal of Innovative Computing, Information and Control, Vol.9, No.1, pp.355-363 (2013).
- M. Fukuhara, S. Iwami, K. Sato, Y. Nishimura, H. Shimizu, K. Aihara and Y. Koyanagi: “Quantification of the Dynamics of Enterovirus 71 Infection by Experimental-mathematical Investigation,” Journal of Virology, Vol.87, No.1, pp.701-705 (2013).
- H. San, T. Kato, T. Maruyama, K. Aihara, and M. Hotta: "Non-Binary Pipeline Analog-to-digital Converter Based on β-Expansion," IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E96-A, No.2, pp.415-421 (2013).
- Y. Katori, Y. Otsubo, M. Okada, and K. Aihara: "Stability Analysis of Associative Memory Network Composed of Stochastic Neurons and Dynamic Synapses," Frontiers in Computational Neuroscience, Vol.7, Article 6 (2013).
- S. Nakaoka and K. Aihara: "Stochastic Simulation of Structured Skin Cell Population Dynamics," Journal of Mathematical Biology, Vol.66, No.4-5, pp.807-835 (2013).
- K. Ejima, K. Aihara, and H. Nishiura: “Modeling the Obesity Epidemic: Social Contagion and its Implications for Control,” Theoretical Biology and Medical Modelling Vol.10, Article No.17, pp.1-13 (2013).
- B. Zhang, L. Chen, and K. Aihara: "Incremental Stability Analysis of Stochastic Hybrid Systems," Nonlinear Analysis: Real World Applications, Vol.14, No.2, pp.1225-1234 (2013).
- R. Fujie, K. Aihara, and N. Masuda: "A Model of Competition among More Than Two Languages," Journal of Statistical Physics, Vol.151, pp.289-303 (2013).
- K. Iwayama, Y. Hirata, H. Suzuki, and K. Aihara: “Change-point Detection with Recurrence Networks,” Nonlinear Theory and Its Applications, IEICE, Vol.4, No.2, pp.160-171 (2013).
- R. Suzuki, T. Maruyama, H. San, K. Aihara, and M. Hotta: “Robust Cyclic-ADC Architecture Based on β-Expansion,” IEICE Transactions on Electronics, Vol.E96-C, No.4, pp.553-559 (2013).
- H. Suzuki, J. Imura, Y. Horio, and K. Aihara: “Chaotic Boltzmann Machines,” Scientific Reports, Vol.3, Article No.1610, pp.1-5 (2013).
- K. Ejima, K. Aihara, and H. Nishiura: “The Impact of Model Building on the Transmission Dynamics under Vaccination: Observable (Symptom-Based) versus Unobservable (Contagiousness-Dependent) Approaches,” PLOS ONE, Vol.8, No.4, e62062, pp.1-10 (2013).
- K. Sasahara, Y. Hirata, M. Toyoda, M. Kitsuregawa, and K. Aihara: “Quantifying Collective Attention from Tweet Stream,” PLOS ONE, Vol.8, No.4, e61823, pp.1-10 (2013).
- T. Mitsui and K. Aihara: "Dynamics between Order and Chaos in Conceptual Models of Glacial Cycles," Climate Dynamics, Vol.42, No.11-12, pp.3087-3099 (2013).
- Kazuyuki Aihara, Kazufumi Ito, Junichi Nakagawa, and Tomoya Takeuchi: "Optimal Control Laws for Traffic Flow," Applied Mathematics Letters, Vol.26, pp.617-623 (2013).
- S. Uenohara, T. Mitsui, Y. Hirata, T. Morie, Y. Horio, and K. Aihara: "Experimental Distinction between Chaotic and Strange Nonchaotic Attractors on the Basis of Consistency," Chaos, Vol.23, No.2, pp.023110-1-9 (2013).
- R. Liu, K. Aihara, and L. Chen: “Dynamical Network Biomarkers for Identifying Critical Transitions of Biological Processes,” Quantitative Biology, Vol.1, No.2, pp.105-114 (2013).
- Y. Hirata and K. Aihara: "Estimating Optimal Partitions for Stochastic Complex Systems," European Physical Journal Special Topics, Vol.222, No.2, pp.303-315 (2013).
- T. Kohno and K. Aihara: "Improving Noise Resistance of Intrinsic Rhythms in a Square-wave Burster Model," Biosystems, Vol.112, No.3, pp.276-283 (2013).
- T. Suzuki and K. Aihara: “Nonlinear System Identification for Prostate Cancer and Optimality of Intermittent Androgen Suppression Therapy,” Mathematical Biosciences, Doi: 10.1016/j.mbs.2013.04.007 (2013).
- Y. Li, P. Zhu, X. Xie, H. Chen, K. Aihara, and G. He: “Controlling a Chaotic Neural Network for Information Processing,” Neurocomputing, Vol.110, pp.111-120 (2013).
- K. Ejima, K. Aihara, and H. Nishiura: “On the Use of Chance-adjusted Agreement Statistic to Measure the Assortative Transmission of Infectious Diseases,” Computational and Applied Mathematics, Vol.32, No.2, pp.303-313 (2013).
- T. Omi, Y. Ogata, Y. Hirata, and K. Aihara: “Forecasting Large Aftershocks within One Day after the Main Shock,” Scientific Reports, Vol.3, Article No.2218, pp.1-7 (2013).
- B. Wang, H. Suzuki, and K. Aihara: “Evaluating Roles of Nodes in Optimal Allocation of Vaccines with Economic Considerations,” PLOS ONE, Vol.8, No.8, e70793-1-9 (2013).
- M.A. Dahlem, S. Rode, A. May, N. Fujiwara, Y. Hirata, K. Aihara, and J. Kurths: “Towards Dynamical Network Biomarkers in Neuromodulation of Episodic Migraine,” Translational Neuroscience, Vol.4, No.3, pp.282-294 (2013).
- I. Nishikawa, G. Tanaka, and K. Aihara: “Nonstandard Scaling Law of Fluctuations in Finite-size Systems of Globally Coupled Oscillators,” Physical Review E, Vol.88, No.2, 024102-1-5 (2013).
- K. Morino, G. Tanaka, and K. Aihara: "Efficient Recovery of Dynamic Behavior in Coupled Oscillator Networks," Physical Review E, Vol.88, No.3, 032909 (2013).
- M. Inoue, J. Imura, K. Kashima, and K. Aihara: "Robust Bifurcation Analysis of Systems with Dynamic Uncertainties," International Journal of Bifurcation and Chaos, Vol.23, 1350157 (2013).
- M. Onizuka, H. Hoang, M. Kawato, I. T. Tokuda, N. Schweighofer, Y. Katori, K. Aihara, E. J. Lang, and K. Toyama: "Solution to the Inverse Problem of Estimating Gap-junctional and Inhibitory Conductance in Inferior Olive Neurons from Spike Trains by Network Model Simulation," Neural Networks, Vol.47, pp.51-63 (2013).
- M. Suzuki, J. Imura, and K. Aihara: "Analysis and Stabilization for Networked Linear Hyperbolic Systems of Rationally Dependent Conservation Laws," Automatica, Vol.49, No.11, pp.3210-3221 (2013).
- M. Oku, T. Makino, and K. Aihara: "Pseudo-orthogonalization of Memory Patterns for Associative Memory," IEEE Transactions on Neural Networks and Learning Systems, Vol.24, No.11, pp.1877-1887 (2013).
- T. Ishizaki, K. Kashima, J. Imura, A. Katoh, H. Morita, and K. Aihara: "Distributed Parameter Modelling and Finite-Frequency Loop-Shaping of Electromagnetic Molding Machine," Control Engineering Practice, Vol.21, No.12, pp.1735-1743 (2013).
- E.P. Bravo, K. Aihara, and Y. Hirata: "Application of Joint Permutations for Predicting Coupled Time Series," Chaos, Vol.23, No.4 043104 (2013).
- T. Leleu and K. Aihara: "Spontaneous Slow Oscillations and Sequential Patterns due to Short-term Plasticity in a Model of the Cortex," Neural Computation, Vol.25, No.12, pp.1-52 (2013).
- Q. Guo, Z. Lu, Y. Hirata, and K. Aihara: "Parameter Estimation and Optimal Scheduling Algorithm for a Mathematical Model of Intermittent Androgen Suppression Therapy for Prostate Cancer," Chaos, Vol.23, No.4, 043125 (2013).
- K. Sakamoto, Y. Katori, N. Saito, S. Yoshida, K. Aihara, and H. Mushiake: “Increased Firing Irregularity as an Emergent Property of Neural-State Transition in Monkey Prefrontal Cortex,” PLOS ONE, Vol.8, No.12, e80906-1-26 (2013).
- K. Sato, N. Misawa, S. Iwami, Y. Satou, M. Matsuoka, Y. Ishizaka, M. Ito, K. Aihara, D.S. An, and Y. Koyanagi: “HIV-1 Vpr Accelerates Viral Replication during Acute Infection by Exploitation of Proliferating CD4+ T Cells In Vivo,” PLOS PATHOGENS, Vol.9, No.12, e1003812-1-12 (2013).
- M. Suzuki, K. Katsuki, J. Imura, J. Nakagawa, T. Kurokawa, and K. Aihara: “Simultaneous Optimization of Slab Permutation Scheduling and Heat Controlling for a Reheating Furnace,” Journal of Process Control, Vol.24, pp.225-238 (2014).
- M.A.S. Kamal, J. Imura, A. Ohata, T. Hayakawa, and K. Aihara: "Smart Driving of a Vehicle in Congested Traffic," IEEE Trans. on Intelligent Transportation Systems, Vol.15. No.2, pp.878-888 (2014)
- I. Aihara, T. Mizumoto, T. Otsuka, H. Awano, K. Nagira, H.G. Okuno, and K. Aihara: "Spatio-Temporal Dynamics in Collective Frog Choruses Examined by Mathematical Modeling and Field Observations," Scientific Reports, Vol.4, Article No.3891, pp.1-8 (2014).
- I. Nishikawa, K. Iwayama, G. Tanaka, T. Horita, and K. Aihara: “Finite-size Scaling in Globally Coupled Phase Oscillators with a General Coupling Scheme,” Progress of Theoretical and Experimental Physics, Vol.2014, No.2, 023A07-1-11, DOI: 10.1093/ptep/ptu015 (2014).
- J.P. Ramirez, K. Aihara, R.H.B. Fey, and H. Nijmeijer: "Further Understanding of Huygens' Coupled Clocks: The Effect of Stiffness," Physica D, Vol.270, pp.11-19 (2014).
- T. Ishizaki, K. Kashima, J. Imura, and K. Aihara: "Model Reduction and Clusterization of Large-Scale Bidirectional Networks," IEEE Transactions on Automatic Control, Vol.59, No.1, pp.48-63 (2014).
- T. Omi, Y. Ogata, Y. Hirata, and K. Aihara: “Estimating the ETAS Model from an Early Aftershock Sequence,” Geophysical Research Letters, Vol.41, No.3, pp.850-857 (2014).
- K. Ejima, K. Aihara, and H. Nishiura: “Probabilistic Differential Diagnosis of Middle East Respiratory Syndrome (MERS) using the Time from Immigration to Illness Onset among Imported Cases,” Journal of Theoretical Biology, Vol.346, pp.47-53 (2014).
- F. Duan, K. Watanabe, Y. Yoshimura, M. Kikuchi, Y. Minabe, and K. Aihara: “Relationship between Brain Network Pattern and Cognitive Performance of Children Revealed by MEG Signals during Free Viewing of Video,” Brain and Cognition, Vol.86, pp.10-16 (2014).
- K. Aihara and M. Hasegawa: “Optimization, Chaotic Neural Networks, and Coherent Ising Machines [Further Thoughts],” Proceedings of the IEEE, Vol.102, No.4, p.585 (2014).
- M. Hasegawa, H. Hirai, K. Nagano, H. Harada, and K. Aihara: “Optimization for Centralized and Decentralized Cognitive Radio Networks,” Proceedings of the IEEE, Vol.102, No.4, pp.574-584 (2014).
- M. Sekikawa, N. Inaba, K. Kamiyama, and K. Aihara: "Three-dimensional Tori and Arnold Tongues," Chaos, Vol.24, No.1, 013137 (2014).
- R. Sugawara, H. San, K. Aihara, and M. Hotta: “Experimental Implementation of Non-binary Cyclic ADCs with Radix-value Estimation Algorithm,” IEICE Trans on Electronics, Vol.E97-C, No.4, pp.308-315 (2014).
- M.A.S. Kamal, J. Imura, T. Hayakawa, A. Ohata, and K. Aihara: "A Vehicle-Intersection Coordination Scheme for Smooth Flows of Traffic without Using Traffic Lights," IEEE Transactions on Intelligent Transportation Systems, Vol.16, No.3, pp.1136-1147 (2015).
- R. Liu, X. Wang, K. Aihara, and L. Chen: "Early Diagnosis of Complex Diseases by Molecular Biomarkers, Network Biomarkers, and Dynamical Network Biomarkers,” Medicinal Research Reviews, Vol.34, No.3, pp.455-478 (2014).
- G. Tanaka, K. Morino, H. Daido, K. Aihara: “Dynamical Robustness of Coupled Heterogeneous Oscillators,” Physical Review E, Vol. 89, 052906-1-8 (2014).
- H. Ikeda, R.J. de Boer, K. Sato, S. Morita, N. Misawa, Y. Koyanagi, K. Aihara, and S. Iwami: “Improving the Estimation of the Death Rate of Infected Cells from Time Course Data during the Acute Phase of Virus Infections: Application to Acute HIV-1 Infection in a Humanized Mouse Model,” Theoretical Biology and Medical Modelling, Vol.11, Article No.22, pp.1-14 (2014).
- Y. Hirata, S. Azuma, and K. Aihara: “Model Predictive Control for Optimally Scheduling Intermittent Androgen Suppression of Prostate Cancer,” Methods, Vol.67, No.3, pp.278-281 (2014).
- R. Liu, X. Yu , X. Liu, D. Xu, K. Aihara, and L. Chen: “Identifying Critical Transitions of Complex Diseases based on a Single Sample,” Bioinformatics, doi:10.1093/bioinformatics/btu084 (2014).
- Y. Suzuki, D. Sakai, T. Nomura, Y. Hirata, and K. Aihara: “A New Protocol for Intermittent Androgen Suppression Therapy of Prostate Cancer with Unstable Saddle-point Dynamics,” Journal of Theoretical Biology, Vol.350, pp.1-16 (2014).
- Y. Hirata, T. Yamada, J. Takahashi, K. Aihara, and H. Suzuki: "Online multi-step prediction for wind speeds and solar irradiation: evaluation of prediction errors," Renewable Energy, Vol.67, pp.35-39 (2014).
- S. Oya, K. Aihara, and Y. Hirata: “An Absolute Measure for a Key Currency,” Physica A, Vol.407, pp.15-23 (2014).
- T. Kobayashi, Y. Koizumi, J.S. Takeuchi, N. Misawa, Y. Kimura, S. Morita, K. Aihara, Y. Koyanagi, S. Iwami, and K. Sato: "Quantification of Deaminase Activity-dependent and -independent Restriction of HIV-1 Replication Mediated by APOBEC3F and APOBEC3G through Experimental-mathematical Investigation," Journal of Virogy, Vol.88, No.10, pp.5881-5587 (2014).
- T. Kohno and K. Aihara: "Silicon Neuronal Networks towards Brain-morphic Computers," IEICE NOLTA Journal, Vol.5, No.3, pp.379--390 (2014).
- G. Tanaka, C. Urabe, and K. Aihara: "Random and Targeted Interventions for Epidemic Control in Metapopulation Models," Scientific Reports, Vol.4, Article No.5522, pp.1-8 (2014).
- B. Liu, Z. Yuan, K. Aihara, and L. Chen: "Reinitiation Enhances Reliable Transcriptional Responses in Eukaryotes," Journal of the Royal Society Interface, Vol.11, No.97, 20140326 (2014).
- B. Wang, G. Tanaka, H. Suzuki, and K. Aihara: "Epidemic Spread on Interconnected Metapopulation Networks," Physical Review E, Vol.90, 032806-1-12 (2014).
- M.A.S. Kamal, J. Imura, A. Ohata, T. Hayakawa, and K. Aihara: "Network-wide Optimization of Traffic Signals Using Mixed Integer Programming, Journal of Robotics and Mechatronics, Vol.26, No.5, pp.607-615 (2014).
- Y. Hirata, K. Aihara, and H. Suzuki: "Predicting Multivariate Time Series in Real Time with Confidence Intervals: Applications to Renewable Energy," The European Physics Journal Special Topics, Vol.223, No.12, pp.2451-2460 (2014).
- D. Ito, T. Ueta, J. Imura, and K. Aihara: "Controlling Chaos of Hybrid Systems by Variable Threshold Values," International Journal of Bifurcation and Chaos, Vol.24, No.10, 1450125-1-12 (2014).
- Y. Tao, Q. Guo, and K. Aihara: “A Partial Differential Equation Model and its Reduction to an Ordinary Differential Equation Model for Prostate Tumor Growth under Intermittent Hormone Therapy,” Journal of Mathematical Biology, Vol.69, pp.817-838 (2014).
- M. Nagata, N. Fujiwara, G. Tanaka, H. Suzuki, E. Kohda, and K. Aihara: "Node-wise Robustness against Fluctuations of Power Consumption in Power Grids," European Physical Journal Special Topic, Vol.223, No.12, pp.2549-2559 (2014).
- Y.D. Sato and K. Aihara: "Changes of Firing Rate Induced by Changes of Phase Response Curve in Bifurcation Transitions," Neural Computation, Vol.26, No.11, pp.2395--2418 (2014).
- S. Oya, K. Aihara, and Y. Hirata: "Forecasting Abrupt Changes in Foreign Exchange Markets: Method using Dynamical Network Marker," New Journal of Physics, Vol.16, 115015 (2014).
- H. Ma, K. Aihara, and L. Chen: "Detecting Causality from Nonlinear Dynamics with Short-term Time Series," Scientific Reports, Vol.4, Article No.7464, pp.1-10 (2014).
- J. Pena Ramirez, R.H.B. Fey, K. Aihara, H. Nijmeijer: "An Improved Model for the Classical Huygens' Experiment on Synchronization of Pendulum Clocks," Journal of Sound and Vibration, Vol.333, No.26, pp.7248-7266 (2014).
- H. Ma, T. Zhou, K. Aihara, and L. Chen: "Predicting Time Series from Short-term High-Dimensional Data," International Journal of Bifurcation and Chaos, Vol.24, No.12, 1430033-1-19 (2014--12).
- K. Kamiyama, M. Komuro, T. Endo, and K. Aihara: "Classification of Bifurcations of Quasi-periodic Solutions using Lyapunov Bundles," International Journal of Bifurcation and Chaos, Vol.24, No.12, 1430034-1-30 (2014).
- K. Aihara and Y. Hirata: "FOREWORD: Special Section on Complex Systems Modelling and its Transdisciplinary Applications," Nonlinear Theory and Its Applications, IEICE, Vol.6, No.1, p.1 (2015).
- K. Fujimoto and K. Aihara: "Bifurcation Avoidance Control of Stable Periodic Points using the Maximum Local Lyapunov Exponent," Nonlinear Theory and Its Applications, IEICE, Vol.6, No.1, pp.2-14 (2015).
- K. Fujiwara, H. Suzuki, T. Ikeguchi, and K. Aihara: "Method for Analyzing Time-varying Statistics on Point Process Data with Multiple Trials," Nonlinear Theory and Its Applications, IEICE, Vol.6, No.1, pp.38-46 (2015).
- T. Makino, Y. Iwata, K. Shinohara, Y. Jitsumatsu, M. Hotta, H. San, and K. Aihara: "Rigorous Estimates of Quantization Error for A/D Converters based on Beta-map," Nonlinear Theory and Its Applications, IEICE, Vol.6, No.1, pp.99-111 (2015).
- L. Speidel, R. Lambiotte, K. Aihara, and N. Masuda: "Steady State and Mean Recurrence Time for Random Walks on Stochastic Temporal Networks, Physical Review E, Vol.91, No.1, 012806-1-12 (2015).
- S. Nakano, Y. Hirata, K. Iwayama, and K. Aihara: "Intra-day Response of Foreign Exchange Markets After the Tohoku-Oki Earthquake," Physica A, Vol.419, pp.203-214 (2015).
- Y. Hirata, M. Shiro, N. Takahashi, K. Aihara, H. Suzuki, and P. Mas: "Approximating High-dimensional Dynamics by Barycentric Coordinates with Linear Programming," Chaos, Vol.25, 013114-1-15 (2015).
- T. Hatano, Y. Hirata, H. Suzuki, and K. Aihara: "Comparison between Mathematical Models of Intermittent Androgen Suppression for Prostate Cancer," Journal of Theoretical Biology, Vol.366, pp.33-45 (2015).
- H. Tsukada, H. Fujii, K. Aihara, and I. Tsuda: "Computational Model of Visual Hallucination in Dementia with Lewy Bodies," Neural Networks, Vol.62, pp.73-82 (2015).
- R. Hosaka, T. Nakajima, K. Aihara, Y. Yamaguchi, and H. Mushiake: "Arm-use Dependent Lateralization of Gamma and Beta Oscillations in Primate Medial Motor Areas," Neural Networks, Vol.62, pp.62--66 (2015).
- G. Cao, L. Chen, and K. Aihara: "Power System Voltage Stability Assessment based on Branch Active Powers," IEEE Transactions on Power Systems, Vol.20, No.2, pp.989-996 (2015).
- T. Leleu and K. Aihara: "Unambiguous Reconstruction of Network Structure using Avalanche Dynamics," Physical Review E, Vol.91, No.2, 022804, pp.1-12 (2015).
- H. Kitajima, T. Yoshinaga, J. Imura, and K. Aihara: "Robust Bifurcation Analysis based on Optimization of Degree of Stability," International Journal of Innovative Computing, Information and Control, Vol.11, No.1, pp.153-162 (2015).
- Y. Sughiyama, T.J. Kobayashi, K. Tsumura, and K. Aihara: "Pathwise Thermodynamic Structure in Population Dynamics," Physical Review E, Vol.91, 032120 (2015).
- M.K. Kajita, R. Yokota, K. Aihara, T.J. Kobayashi: "Experimental and Theoretical Bases for Mechanisms of Antigen Discrimination by T Cells," Biophysics, Vol.11, pp.85-92 (2015).
- T. Ishizaki, H. Sandberg, K. Kashima, J. Imura, K. Aihara: "Dissipativity-Preserving Model Reduction for Large-Scale Distributed Control Systems," IEEE Transactions on Automatic Control, Vol.60, No.4, pp.1023-1037 (2015).
- T. Sasai, K. Morino, G. Tanaka, J.A. Almendral, and K. Aihara: "Robustness of Oscillatory Behavior in Correlated Networks," PLOS ONE, Vol.10, No.4, e0123722, pp.1-21 (2015).
- T. Omi, Y. Ogata, Y. Hirata, and K. Aihara: "Intermediate-term Forecasting of Aftershocks from an Early Aftershock Sequence: Bayesian and Ensemble Forecasting Approaches," Journal of Geophysical Research Solid Earth, Vol.120, No.4, pp.2561-2578 (2015).
- R. Yokota, K. Aihara, R. Kanzaki, and H. Takahashi: "Learning-Stage-Dependent Plasticity of Temporal Coherence in the Auditory Cortex of Rats," Brain Topography, Vol.28, No.3, pp.401-410 (2015).
- D. Tanaka, H. Asahara, K. Aihara, and T. Kousaka: "Basic Properties of Two-Dimensional Composite Dynamical System with Spike Noise," Electronics and Communications in Japan, Vol.98, No.6, pp.26-35 (2015).
- K. Morino, Y. Hirata, R. Tomioka, H. Kashima, K. Yamanishi, N. Hayashi, S. Egawa, and K. Aihara: "Predicting Disease Progression from Short Biomarker Series using Expert Advice Algorithm," Scientific Reports, Vol.5, Article No.8953, pp.1--12 (2015).
- Y. Kakizoe, S. Nakaoka, C.A.A. Beauchemin, S. Morita, H. Mori, T. Igarashi, K. Aihara, T. Miura, and S. Iwami: "A Method to Determine the Duration of the Eclipse Phase for
*in Vitro*Infection with a Highly Pathogenic SHIV Strain," Scientific Reports, Vol.5, Article No.10371, pp.1-14 (2015). - T. Mitsui, M. Crucifix, and K. Aihara: "Bifurcations and Strange Nonchaotic Attractors in a Phase Oscillator Model of glacial interglacial Cycles," Physica D, Vol.306, pp.25-33 (2015).
- M.A. Dahlem, J. Kurths, M.D. Ferrari, K. Aihara, M. Scheffer, and A. May: "Understanding Migraine using Dynamic Network Biomarkers," Cephalalgia, 0333102414550108 (2014).
- M. Inoue, J. Imura, K. Kashima, M. Suzuki, and Kazuyuki Aihara: "Absolute Instability of Lur'e Systems and its Application to Oscillation Analysis of Uncertain Genetic Networks," International Journal of Robust and Nonlinear Control, Vol.25, No.18, pp.3746-3762 (2015).
- Y. Hirata, K. Morino, K. Akakura, C.S. Higano, N. Bruchovsky, T. Gambol, S. Hall, G. Tanaka, and K. Aihara: "Intermittent Androgen Suppression: Estimating Parameters for Individual Patients Based on Initial PSA Data in Response to Androgen Deprivation Therapy," PLOS ONE, Vol.10, No.6, e0130372-1-15 (2015).
- M.A.S. Kamal, J. Imura, T. Hayakawa, A. Ohata, and K. Aihara: "A Vehicle-Intersection Coordination Scheme for Smooth Flows of Traffic Without Using Traffic Lights," IEEE Transactions on Intelligent Transportation Systems, Vol.16, No.3, pp.1136-1147 (2015).
- H. Ikeda, A. Godinho-Santos, S. Rato, B. Vanwalscappel, F. Clavel, K. Aihara, S. Iwami, and F. Mammano: "Quantifying the Antiviral Effect of IFN on HIV-1 Replication in Cell Culture," Scientific Reports, Vol.5, Article No.11761, pp.1-7 (2015).
- M. Inoue, H. Ikuta, S. Adachi, J. Imura, and K. Aihara: "A Computational Method for Robust Bifurcation Analysis and Its Application to Biomolecular Systems," International Journal of Bifurcation and Chaos, Vol.25, No.7, 1540012-1-11 (2015).
- B.-G. Zhang, G. Tanaka and K. Aihara, M. Honda, S. Kaneko, and L. Chen: "Dynamics of an HBV Model with Drug Resistance Under Intermittent Antiviral Therapy," International Journal of Bifurcation and Chaos, Vol.25, No.7, 1540011-1-12 (2015).
- T. Ishizaki, K. Kashima, A. Girard, J. Imura, L. Chen, K. Aihara: "Clustered Model Reduction of Positive Directed Networks," Automatica, Vol.59, pp.238-247 (2015).
- S. Iwami, K. Sato, S. Morita, H. Inaba, T. Kobayashi, J.S. Takeuchi, Y. Kimura, N. Misawa, F. Ren, Y. Iwasa, K. Aihara, and Y. Koyanagi: "Pandemic HIV-1 Vpu Overcomes Intrinsic Herd Immunity Mediated by Tetherin," Scientific Reports, Vol.5, Article No.12256, pp.1-8 (2015).
- Y. Hirata and K. Aihara: "Ability of Intermittent Androgen Suppression to Selectively Create a Non-trivial Periodic Orbit for a Type of Prostate Cancer Patients," Journal of Theoretical Biology, Vol.384, pp.147-152 (2015).
- N. Takahashi, Y. Hirata, K. Aihara, and P. Mas: "A Hierarchical Multi-oscillator Network Orchestrates the Arabidopsis Circadian System," Cell, Vol.163, No.1, pp.148-159 (2015).
- P. Chen, R. Liu, L. Chen, and K. Aihara: "Identifying Critical Differentiation State of MCF-7 Cells for Breast Cancer by Dynamical Network Biomarkers," Frontiers in Genetics, Vol.6, Article No.252, pp.1-7 (2015).
- M. Ohtaki, T. Tonda, and K. Aihara: "A two-phase Poisson Process Model and its Application to Analysis of Cancer Mortality among A-bomb Survivors," Mathematical Biosciences, Vol.268, pp.31-37 (2015).
- S. Iwami, J.S. Takeuchi, S. Nakaoka, F. Mammano, F. Clavel, H. Inaba, T. Kobayashi, N. Misawa, K. Aihara, Y. Koyanagi, K. Sato: "Cell-to-cell infection by HIV contributes over half of virus infection," eLife, Vol.4, e08150, pp.1-16 (2015).
- Y. Hirata, T. Takeuchi, S. Horai, H. Suzuki, and K. Aihara: "Parsimonious Description for Predicting High-dimensional Dynamics," Scientific Reports, Vol.5, Article No.15736, pp.1-6 (2015).
- M. Inoue, J. Imura, K. Kashima, M. Suzuki, and K. Aihara: "Absolute Instability of Lur'e Systems and its Application to Oscillation Analysis of Uncertain Genetic Networks," International Journal of Robust and Nonlinear Control, Vol.25, No.18, pp.3746-3762 (2015).
- R. Liu, P. Chen, K. Aihara, and L. Chen: "Identifying Early-warning Signals of Critical Transitions with Strong Noise by Dynamical Network Markers," Scientific Reports, Vol.5, Article No.17501, pp.1-13 (2015).
- T. Ueta, D. Ito, and K. Aihara: "Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition?," International Journal of Bifurcation and Chaos, Vol.25, No.13, 1550185, pp.1-10 (2015).
- Y. Hirata and K. Aihara:"Edit Distance for Marked Point Processes Revisited: An Implementation by Binary Integer Programming," Chaos, Vol.25, No.12, 123117 (2015).
- M. Fukino, Y. Hirata and K. Aihara: "Coarse-graining Time Series Data: Recurrence Plot of Recurrence Plots and its Application for Music," Chaos, Vol.26, 023116-1-12 (2016).
- T. Sase, J.P. Ramirez, K. Kitajo, K. Aihara, and Y. Hirata: "[[Estimating the Level of Dynamical Noise in Time Series by using Fractal Dimensions>http://www.sciencedirect.com/science/article/pii/S0375960116000177," Physics Letters A, Vol.380, No.11-12, pp.1151-1163 (2016).
- Y. Hirata, K. Morino, T. Suzuki, Q. Guo, "System Identification and Parameter Estimation in Mathematical Medicine: Examples Demonstrated for Prostate Cancer," Quantitative Biology, Vol.4, No.1, pp.13-19 (2016).
- D. Ito, T. Ueta, T. Kousaka, and K. Aihara: "Bifurcation Analysis of the Nagumo-Sato Model and its Coupled Systems," International Journal of Bifurcation and Chaos, Vol.28, No.3, 1630006-1-11 (2016).
- K. Iwayama, L. Zhu, Y. Hirata, M. Aono, M. Hara, and K. Aihara: "Decision-making Ability of Physarum Polycephalum Enhanced by its Coordinated Spatiotemporal Oscillatory Dynamics," Bioinspiration & Biomimetics, Vol.11, No.3, 036001 (2016).
- E. Fujioka, I. Aihara, M. Sumiya, K. Aihara, and S. Hiryu: "Echolocating Bats Use Future-target Information for Optimal Foraging," Proceedings of the National Academy of Sciences of the United States of America, Vol.113, No.17, pp.4848-4852 (2016).