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#author("2018-09-04T13:38:11+09:00","","") #author("2018-09-04T13:42:15+09:00","","") +G. Matsumoto, K. Aihara, and T. Utsunomiya: "[[A Spatially-Ordered Pacemaker Observed in Squid Giant Axons>http://journals.jps.jp/doi/abs/10.1143/JPSJ.51.942]]," 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>http://www.sciencedirect.com/science/article/pii/0022519382903496]]," 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>http://www.cell.com/biophysj/abstract/S0006-3495(83)84408-7]]," 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>http://www.sciencedirect.com/science/article/pii/S0022519384800053]]," 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>http://www.sciencedirect.com/science/article/pii/0375960185902567]]," 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>http://www.sciencedirect.com/science/article/pii/0375960186905785]]," 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>http://www.sciencedirect.com/science/article/pii/0375960187906967]]," 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>http://search.ieice.org/bin/summary.php?id=e72-e_4_416]]," The Transaction of the IEICE, Vol.E72, No.4, pp.416-421 (1989). +K. Aihara, T. Takabe, and M. Toyoda: "[[Chaotic Neural Networks>http://www.sciencedirect.com/science/article/pii/037596019090136C]]," 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>http://search.ieice.org/bin/summary.php?id=e73-e_6_842]]," 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>http://www.worldscientific.com/doi/abs/10.1142/S0218127491000129]]," 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>http://search.ieice.org/bin/summary.php?id=e74-a_6_1476&category=A&year=1991&lang=E&abst=]]," 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>http://www.ncbi.nlm.nih.gov/pubmed/1421129]]," 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>http://www.sciencedirect.com/science/article/pii/037596019290802S]]," 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>http://www.sciencedirect.com/science/article/pii/089360809390017Q]]," 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>https://search.ieice.org/bin/summary.php?id=e76-a_4_642&category=A&lang=E&year=1993&abst=]]," 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>http://vs2ga4mq9g.search.serialssolutions.com/?ctx_ver=Z39.88-2004&url_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info%3Asid%2Fci.nii.ac.jp%3ACiNii&rfe_dat=info%3Anaid%2F110003215683&rfe_dat=info%3Ancid%2FAA10826239&rft.issn=09168508&rft.eissn=09168508&rft.atitle=A+Current-Mode+Implementation+of+a+Chaotic+Neuron+Model+Using+a+SI+Integrator&rft.jtitle=IEICE+transactions+on+fundamentals+of+electronics%2C+communications+and+computer+sciences&rft.aulast=Kanou&rft.aufirst=Nobuo&rft.aucorp=Faculty+of+Engineering%2C+Tokyo+Denki+University&rft.date=1994&rft.volume=77&rft.issue=1&rft.spage=335&rft.epage=338]], Vol. E77-A, No. 1, pp. 335-338 (1994). +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).