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*Books [#k617012a] +K. Aihara and G. Matsumoto : in "Chaos" (ed. by A.V. Holden), Manchester University Press, Manchester and Princeton University Press, Princeton (1986). +K. Aihara and G. Matsumoto : "Nerve Excitation and Chaos", in "Dynamical Systems and Nonlinear Oscillations" (ed. by G. Ikegami), World Scientific Advanced Series in Dynamical Systems, Vol. 1, pp. 254-267 , World Scientific Publishing Co. Pte. Ltd, Singapore (1986). +M. Kotani, K. Aihara and Y. Uchikawa : “Measurement of Magnetic Field Produced by Human Body with SQUID Magnetometer,” in “Superconductivity Electronics” (ed. K. Hara), P. 164, Prentice Hall, N. J., and Ohmsha, Tokyo (1987). +K. Aihara : “Chaotic Neural Networks”, in “Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems” (ed. by H. Kawakami), pp. 143-161, World Scientific, Singapore (1990). +K. Aihara : “Neural Networks and Dynamical Systems”, in “A New Horizon on Medical Physics and Biomedical Engineering” (eds. H. Abe, K. Atsumi, T. Iinuma, M. Saito and M. Inoue), pp. 53-55, Elsevier, Amsterdam (1991). +T. Ikeguchi, M. Adachi and K. Aihara : “Chaotic Neural Networks and Associative Memory”, in “Artificial Neural Networks” (ed. A. Prieto), Lecture Notes in Computer Science, Vol. 540, pp. 17-24, Springer-Verlag, Berlin (1991). +T. Ikeguchi, K. Hatamoto and K. Aihara : “Nonlinear Associative Dynamics and Pattern Representations in Chaotic Neural Networks”, in “Structure and Bifurcations of Dynamical Systems” (ed. by S Ushiki), pp. 1-17, World Scientific, Singapore (1992). +K. Aihara : “Chaos in Axons,” The Handbook of Brain Theory and Neural Networks, pp. 183-185, The MIT Press, Cambridge, Massachusetts (1995). +I. Tokuda and K. Aihara : “Laryngeal Vibrations as an Underlying Cause of Irregularities in Speech Signals of Vowel Sounds” in “Nonlinear Dynamics : New Theoretical and Applied Results” (ed. by Jan Awrejcewicz), pp. 393-403, Akademie Verlag GmbH, Berlin (1995). +K. Aihara : “Chaos in Neural Networks”, “The Impact of Chaos on Society” (eds. J. Yorke and C. Grebogi), pp. 110-126, United Nations University Press (1996). +M. Watanabe, K. Aihara and S. Kondo : "Self-organization Dynamics in Chaotic Neural Networks", with Com- mentaries by J. Pastor and T. Sauer, in "Control and Chaos" (eds. K. Judd, A. Mees, K. L. Teo & T. L. Vincent), pp. 320-333, Birkh"auser, Boston (1997). +H. Tanaka and K. Aihara : "Chaotic behavior of the Hodgkin-Huxley equations under small ran- dom noise", in "Complexity and Diversity" (ed. by E. R. Nakamura), pp. 172- 174, Springer (1997). +Tohru Ikeguchi, Tadashi Iokibe and Kazuyuki Aihara : "11 Chaos and Time Series Analysis", In "Soft Computing and Human- Centered Machines" (Eds.Z.Q.Liu ＆ S.Miyamoto), pp. 283-298, Springer, Tokyo (2000). +Y. Horio and K. Aihara : "Chaotic Neuro-Computer", in "Chaos in Circuit and Systems" (ed. by G. Chen & T. Ueta), World Scientific, pp. 237-256 (2002). +K. Saeki, Y. Sekine and K. Aihara : "Chaos in a Pulse-type Hardware Neuron Model", in "Chaos in Cir- cuit and Systems" (ed. by G. Chen & T. Ueta), World Scientific, pp. 277-296 (2002). +K. Aihara : "Chaos in Neural Systems," The Handbook of Brain Theory and Neural Networks, 2nd edition, (ed. by Michael A. Arbib), pp. 208-212, The MIT Press, Cambridge, Massachusetts (2002). +Yoshito Hirata, Hideyuki Suzuki, and Kazuyuki Aihara : "Wind Modelling and its Possible Application to Control of Wind Farms," In Eds D.P. Mandic, M. Golz, A. Kuh, D. Obradovic, and T. Tanaka,"Signal Processing Techniques for Knowledge Extraction and Information Fusion," Springer, New York, pp.23-36, 2008. +Hajime Mushiake, Kazuhiro Sakamoto, Naohiro Saito, Toshiro Inui, Kazuyuki Aihara, and Jun Tanji: "Chapter 1 Involvement of the Prefrontal Cortex in Problem Solving," In International Review of Neurobiology Volume 85, 2009, pp.1-11 International Review of Neurobiology - 85, Elsevier (2009). +Masashi Aono, Yoshito Hirata, Masahiko Hara, Kazuyuki Aihara: "Resource-competing Oscillator Network as a Model of Amoeba-based Neurocomputer," Lecture Notes in Computer Science, Vol.5715 (2009). +Masashi Aono, Yoshito Hirata, Masahiko Hara, and Kazuyuki Aihara: "Combinatorial Optimization by Amoeba-based Neurocomputer with Chaotic Dynamics," In Eds Y. Suzuki, M. Hagiya, H. Umeo, and A. Adamatzky, "Natural Computing, 2nd International Workshop on Natural Computing," Nagoya, Japan, December 2007, Proceedings, Proceedings in Information and Communications Technology Volume 1, Springer, New York, pp.1-15 (2009). +Luonan Chen, Ruiqi Wang, Chunguang Li, and Kazuyuki Aihara: "[[Modeling Biomolecular Networks in Cells:http://www.sat.t.u-tokyo.ac.jp/?%BF%F4%CD%FD%C0%B8%CC%BF%BE%F0%CA%F3%B3%D8%B8%A6%B5%E6%BC%BC%2F%C8%AF%C9%BD%CA%B8%B8%A5%2F%BD%F1%C0%D2%A5%EA%A5%B9%A5%C8%2FModeling%20Biomolecular%20Networks%20in%20Cells]]: Structures and Dynamics," Springer, London (2010). *Papers [#k4c5f64d] +G. Matsumoto, K. Aihara and T. Utsunomiya : “A Spatially-Ordered Pacemaker Observed in Squid Giant Axons”, J. of Phys. Soc. of Japan, Vol. 51, No. 3, pp. 942-950 (1982). +K. Aihara and G. Matsumoto : “Temporally Coherent Organization and Instabilities in Squid Giant Axons”, J. 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”, J. 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”, J. Theoretical Biology, Vol. 109, 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). +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). +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醇@n, and K. Aihara: "Crisis-Induced Intermittency in Two Coupled Chaotic Maps: Towards Understanding Chaotic Itinerancy,” Physical Review E, Vol.71, 016219-1-11 (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醇@n, and K. Aihara: "Synchronization and Propagation of Bursts in Networks of Coupled Map Neurons," Chaos, Vol.16, No.1, 013113, (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. Sanjuan, and K. Aihara: "Sensitivity versus resonance in two-dimensional spiking-bursting neuron models," Physical Review E, Vol.75, 041902 (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>http://www.scholarpedia.org/article/Chaos_in_neurons]], [[Scholarpedia>http://www.scholarpedia.org]], 3(5):1786 (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). +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 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). +Hiroyuki Okano, Tetsuya J. Kobayashi, Hirokazu Tozaki, Hidenori Kimura: "Estimation of the Source-by-source Effect of Autorepression on Genetic Noise," Biophysical Journal, Vol.95, No.3, pp.1063-1074 (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," 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). +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). +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). +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).