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*Publications [#c43d207a] +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() 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/f-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. Sanjun, 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. Sanjun, 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).