Laboratories for Mathematics, Lifesciences, and Informatics

_ samples

• Afirstname Afamilyname and Bfirstname Bfamilyname: ``Sample Article,'' Jornal Name, Vol.1, No.1, pp.1--2 (2009--1). PDF
• Cfirstname Cfamilyname, Dfirstname Dfamilyname, and Efirstname Efamilyname, : ``Sample Article 2,'' Jornal Name, Vol.1, No.1, pp.3--4 (2009--12).PDF

_ 2009

_ 2008/December

• 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, No.6, pp.593--641 (2008--12).
  DOI:10.1007/s00332-008-9031-0 PDF

• 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--12).
  DOI:10.1007/s10015-008-0530-8 PDF

• Makito Oku and Kazuyuki Aihara: ``Networked Reinforcement Learning,'' Artificial Life and Robotics, Vol.13, No.1, pp.112--115 (2008--12).
  DOI:10.1007/s10015-008-0565-x PDF

_ 2008/November

• Yoshito Hirata, Shunsuke Horai, and Kazuyuki Aihara: ``Reproduction of distance matrices and original time series from recurrence plots and their applications,'' European Physical Journal Special Topics, Vol.164, pp.13--22 (2008).
  DOI:10.1140/epjst/e2008-00830-8 PDF

• 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--11).
  DOI:10.1103/PhysRevE.78.056208 PDF

_ 2008/October

• 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). DOI:unconfirmed

_ 2008/September

• 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--9).
  DOI:10.1093/cercor/bhm234 PDF

• 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--9).
  DOI:10.1016/j.physd.2008.03.044 PDF

_ 2008/August

• 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--8).
  DOI:10.1103/PhysRevE.78.026103 PDF

• 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, No.8, pp.1951--1972 (2008--8).
  DOI:10.1162/neco.2008.05-07-516 PDF

• 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--2308 (2008--8)
  DOI:10.1142/S0218127408021713 PDF

• Guoguang He, Luonan Chen, and Kazuyuki Aihara: ``Associative Memory With a Controlled Chaotic Neural Network,'' Neurocomputing, Vol.71, pp.2794--2805 (2008--8).
  DOI:10.1016/j.neucom.2007.09.005 PDF

• 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--8).
  DOI:10.1109/JPROC.2008.925448 PDF

_ 2008/July

• Yoshihiko Horio and Kazuyuki Aihara: ``Analog Computation through High-dimensional Physical Chaotic Neuro-dynamics,'' Physica D, Vol.237, No.9, pp.1215--1225 (2008--7).
  DOI:10.1016/j.physd.2008.01.030 PDF

• 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).
  DOI:10.1016/j.jneumeth.2008.05.004 PDF

• Bing Wang, Kazuyuki Aihara, and Luonan Chen: "Jamming in Weighted Scale-free Gradient Networks," Europhysics Letters, Vol.83, pp.28006 (2008).
  DOI:10.1209/0295-5075/83/28006 PDF

• 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--7).
  DOI:10.1002/prot.21943 PDF

• 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--7/8).
  DOI:10.1016/j.mbs.2008.03.001 PDF

• 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--7).
  DOI:unconfirmed PDF

_ 2008/June

• 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--6--5).
  DOI:10.1016/j.brainres.2008.03.037 PDF

• 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--6).
  DOI:10.2174/092986608784567609

• 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--6).
  DOI:10.1063/1.2939483 PDF

• 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--6).
  DOI:unconfirmed PDF

• 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--6).
  pdf-file@parama journal of physics PDF

_ 2008/May

• 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--5).
  DOI:10.1016/j.mbs.2008.02.004 PDF

• 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--5).
  DOI:10.1093/nar/gkn145 PDF

_ 2008/April

• 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--4).
  DOI:10.1142/S0218127408020835 PDF

• 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--4).
  DOI:10.1016/j.febslet.2008.02.057 PDF

• 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--4).
  DOI:10.1007/s10015-007-0472-6 PDF

• 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). DOI:10.1007/s00726-008-0077-y PDF

_ 2008/March

• Takashi Kohno and Kazuyuki Aihara: ``Mathematical-model-based Design of Silicon Burst Neurons,'' Neurocomputing, Vol.71, No.7-9, pp.1619--1628 (2008--3).
  DOI:10.1016/j.neucom.2007.04.003 PDF

• Xing-Ming Zhao, Xin Li, Luonan Chen, Kazuyuki Aihara: ``Protein Classification with Imbalanced Data,'' Proteins: Structure, Function, and Bioinformatics, Vol.70, No.4, pp.1125--1132 (2008--3).
  DOI:10.1002/prot.21870 PDF

• Guoguang He, Manish Dev Shrimali and Kazuyuki Aihara: ``Threshold Control of Chaotic Neural Network,'' Neural Networks, Vol.21, pp.114--121 (2008--3/4).
  DOI:10.1016/j.neunet.2007.12.004 PDF

_ 2008/February

• 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, No.1865, pp. 591--607 (2008--2).
  DOI:10.1098/rsta.2007.2112 PDF

• 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--2--20).
  DOI:10.1523/JNEUROSCI.3948-07.2008 PDF

_ 2008/January

• 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--1--28).
  DOI:10.1186/1471-2105-9-57 PDF

_ 2008/unconfirmed

• 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).
  DOI:10.1504/IJBRA.2008.021175

• K Aihara: Chaos in neurons, Scholarpedia, 3(5):1786 (2008)

_ 2007/December

• Yoshiyuki Sato, Taro Toyoizumi, and Kazuyuki 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--12).
  DOI:10.1162/neco.2007.19.12.3335 PDF

• Guoguang He, Manish Dev Shrimali, and Kazuyuki Aihara: ``Partial State Feedback Control of Chaotic Neural Network and its Application,'' Physics Letters A, Vol.371, No.3, pp.228--233 (2007--11--12).
  DOI:10.1016/j.physleta.2007.08.058 PDF

_ 2007/November

_ 2007/October

• 寳来 俊介, 合原 一究, 合原 一幸： 「ニホンアマガエル発声行動の相互作用に関する音声データの時系列解析」，'' 電気学会論文誌 C, Vol.127, No.10, pp.1692--1698 (2007--10).
  DOI:10.1541/ieejeiss.127.1692 PDF

• Ikkyu Aihara, Shunsuke Horai, Hiroyuki Kitahata, Kazuyuki Aihara, and Kenichi 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--10).
  DOI:10.1093/ietfec/e90-a.10.2154 PDF

• Yoshito Hirata, Shunsuke Horai, Hideyuki Suzuki, and Kazuyuki Aihara: ``Testing Serial Dependence by Random-shuffle Surrogates and the Wayland Method,'' Physics Letters A, Vol.370, No.3-4, pp.265--274 (2007--10--22).
  DOI:10.1016/j.physleta.2007.05.061 PDF

• Chunguang Li, Luonan Chen, Kazuyuki Aihara: ``Stochastic Stability of Genetic Networks with Disturbance Attenuation,'' IEEE Transactions on Circuits and Systems II, Vol.54, No.10, pp.892--896 (2007--10).
  DOI:10.1109/TCSII.2007.901631 PDF

• Manish Dev Shrimali, Sudeshna Sinha, and Kazuyuki Aihara: ``Asynchronous Updating Induces Order in Threshold Coupled Systems,'' Physical Review E, Vol.76, 046212 (2007--10).
  DOI:10.1103/PhysRevE.76.046212 PDF

• Takashi Kohno and Kazuyuki Aihara: ``Bottom-up Design of Class 2 Silicon Nerve Membrane,'' Journal of Intelligent & Fuzzy Systems, Vol.18, No.5, pp.465--475 (2007).
  DOI:unconfirmed
  

_ 2007/September

• Masashi Aono, Masahiko Hara, and Kazuyuki Aihara: ``Amoeba-based Neurocomputing with Chaotic Dynamics,'' Communications of the ACM, Vol. 50, No. 9, pp.69--72 (2007--9).
  DOI:unconfirmed PDF

• Kantaro Fujiwara, Hiroki Fujiwara, Minoru Tsukada, Kazuyuki Aihara: ``Reproducing Bursting Interspike Interval Statistics of the Gustatory Cortex,'' Biosystems, Vol.90, No.2, pp.442--448 (2007--9).
  DOI:10.1016/j.biosystems.2006.10.007 PDF

• Kosuke Hamaguchi, Masato Okada, and Kazuyuki Aihara: ``Variable Timescales of Repeated Spike Patterns in Synfire Chain with Mexican-Hat Connectivity,'' Neural Computation, Vol.19, No.9, pp.2468-2491 (2007--9).
  DOI:10.1162/neco.2007.19.9.2468 PDF

• Zhijie Wang, Hong Fan, and Kazuyuki Aihara: ``An Associative Network with Chaotic Neurons and Dynamic Synapse,'' International Journal of Bifurcation and Chaos, Vol.17, No.9, pp.3085--3097 (2007--9).
  DOI:10.1142/S0218127407018889 PDF

• Ruiqi Wang, Luonan Chen and Kazuyuki Aihara: ``Detection of Cellular Rhythms and Global Stability within Interlocked Feedback Systems,'' Mathematical Biosciences, Vol.209, No.1, pp.171--189 (2007--9).
  DOI:10.1016/j.mbs.2006.12.005 PDF

_ 2007/August

_ 2007/July

• Naoki Masuda, Masato Okada, and Kazuyuki Aihara: ``Filtering of Spatial Bias and Noise Inputs by Spatially Structured Neural Networks,'' Neural Computation, Vol.19, No.7, pp.1854-1870 (2007--7).
  DOI:10.1162/neco.2007.19.7.1854 PDF

• Kenji Morita, Masato Okada, and Kazuyuki Aihara: ``Selectivity and Stability via Dendritic Nonlinearity,'' Neural Computation, Vol.19, No.7, pp.1798-1853 (2007--7).
  DOI:10.1162/neco.2007.19.7.1798 PDF

• Hideki Tanaka, Takashi Morie and Kazuyuki Aihara: ``A CMOS circuit for STDP with a symmetric time window,'' International Congress Series, Vol.1301, pp.152--155 (2007--7).
  DOI:10.1016/j.ics.2006.12.029 PDF

• Takashi Shimada, Yosuke Murase, Satoshi Yukawa, Nobuyasu Ito and Kazuyuki Aihara: ``A Simple Model of Evolving Ecosystems,'' Journal of Artificial Life and Robotics, Vol.11, No.2, pp.153--156 (2007--7).
  DOI:10.1007/s10015-007-0420-5 PDF

• Nobuaki Sugimine and Kazuyuki Aihara: ``Stability of an Equilibrium State in a Multiinfectious-type SIS Model on a Truncated Network,'' Journal of Artificial Life and Robotics, Vol.11, No.2, pp.157--161 (2007--7).
  DOI:10.1007/s10015-007-0421-4 PDF

• Masatoshi Funabashi and Kazuyuki Aihara: ``Modeling Birdsong Learning with a Chaotic Elman Network,'' Journal of Artificial Life and Robotics,Vol.11, No.2, pp.162--166 (2007--7).
  DOI:10.1007/s10015-007-0422-3 PDF

• Kantaro Fujiwara and Kazuyuki Aihara: ``Classification of the Spike Sequences by Distinguishing their Sources of Temporal Correlations,'' Journal of Artificial Life and Robotics, Vol.11, No.2, pp.167--170 (2007--7).
  DOI:10.1007/s10015-007-0423-2 PDF

_ 2007/June

• Hiroyasu Ando, S. Boccaletti, and Kazuyuki Aihara: ``Automatic Control and Tracking of Periodic Orbits in Chaotic Systems,'' Physical Review E, Vol.75, 066211--1--5 (2007--6).
  DOI:10.1103/PhysRevE.75.066211 PDF

• Naoki Masuda and Kazuyuki Aihara: ``Dual Coding Hypotheses for Neural Information Representation,'' Mathematical Biosciences, Vol.207, pp.312-321 (2007--6).
  DOI:10.1016/j.mbs.2006.09.009 PDF

_ 2007/May

_ 2007/April

• Borja Ibarz, Gouhei Tanaka, Miguel A.F. Sanjuan, and Kazuyuki Aihara: ``Sensitivity versus Resonance in Two-dimensional Spiking-bursting Neuron Models,'' Physical Review E, Vol. 75, 041902 (2007--4).
  DOI:10.1103/PhysRevE.75.041902 PDF

• Munehisa Sekikawa, Naohiko Inaba and Kazuyuki 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--4--9).
  DOI:10.1016/j.physleta.2006.11.039 PDF

• Gouhei Tanaka and Kazuyuki Aihara: ``Collective Skipping: Aperiodic Phase Locking in Ensembles of Bursting Oscillators,'' Europhysics Letters, Vol.78, No.1, 10003 (2007--4).
  DOI:10.1209/0295-5075/78/10003 PDF

_ 2007/March

• Shigeki Tsuji, Tetsushi Ueta, Hiroshi Kawakami, Hiroshi Fujii, and Kazuyuki Aihara: ``Bifurcations in Two-dimensional Hindmarsh-Rose Type Model,'' International Journal of Bifurcation and Chaos, Vol.17, No.3, pp.985--998 (2007--3).
  DOI:10.1142/S0218127407017707 PDF

• Shigeki Tsuji, Tetsushi Ueta, and Hiroshi Kawakami: ``Bifurcation Analysis of Current Coupled BVP Oscillators,'' International Journal of Bifurcation and Chaos, Vol.17, No.3, pp.837--850 (2007--3).
  DOI:10.1142/S0218127407017586 PDF

• Taro Toyoizumi, Jean-Pascal Pfister, Kazuyuki Aihara, and Wulfram Gerstner: ``Optimality Model of Unsupervised Spike-Timing-Dependent Plasticity: Synaptic Memory and Weight Distribution,'' Neural Computation, Vol.19, No.3, pp.639-671 (2007--3).
  DOI:10.1162/neco.2007.19.3.639 PDF

• Chunguang Li, Luonan Chen, and Kazuyuki Aihara: ``A Systems Biology Perspective on Signal Processing in Genetic Network Motifs,'' IEEE Signal Processing Magazine, Vol.24, No.2, pp.136--147 (2007--3).
  DOI:10.1109/MSP.2007.323279 PDF

_ 2007/February

• Yukio Sakisaka, Kei-ichi Tainaka, Nobuaki Sugimine, Jin Yoshimura, Taro Hayashi, Kazuyuki Aihara, Tatsuya Togashi, Tatsuo Miyazaki: ``Power Law for Extinction Process in Multiple Contact Process,'' Journal of the Physical Society of Japan, Vol.76, No.2, 023101--1--4 (2007--2).
  DOI:10.1143/JPSJ.76.023101 PDF

• Takashi Takemoto, Takashi Kohno, and Kazuyuki Aihara: ``Circuit Implementation and Dynamics of A Two-Dimensional MOSFET Neuron Model,'' International Journal of Bifurcation and Chaos, Vol.17, No.2, pp.459--508 (2007--2).
  DOI:10.1142/S0218127407017379 PDF

_ 2007/January

• Chunguang Li, Luonan Chen, and Kazuyuki Aihara: ``Stochastic synchronization of genetic oscillator networks,'' BMC Systems Biology, Vol.1, No.6, pp.1752--0509 (2007--1).
  DOI:10.1186/1752-0509-1-6 PDF

_ 2007/unconfirmed

• 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).
  DOI:unconfirmed PDF

_ 2006/December

• Kazumichi Ohtsuka, Norio Konno, Naoki Masuda, and Kazuyuki Aihara: ``Phase Diagrams and Correlation Inequalities of a Three-state Stochastic Epidemic Model on the Square Lattice,'' International Journal of Bifurcation and Chaos, Vol.16, No.12, pp.3687--3693 (2006--12).
  DOI:10.1142/S0218127406017075 PDF

• Hiroyasu Ando and Kazuyuki Aihara: ``Adaptation to the Edge of Chaos in One-dimensional Chaotic Maps,'' Physical Review E, Vol.74, No.6, 066205 (2006--12).
  DOI:10.1103/PhysRevE.74.066205 PDF

• Danilo. P. Mandic, Su. Lee. Goh, and Kazuyuki. 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).
  DOI:10.1007/s11265-006-0025-6 PDF

_ 2006/November

• Chunguang Li, Luonan Chen, and Kazuyuki Aihara: ``Stability of Genetic Networks with SUM Regulatory Logic: Lur’e System and LMI Approach,'' IEEE Trans. on Circuits and Systems---I: Regular Papers, Vol.53, No.11, pp.2451--2458 (2006--11).
  DOI:10.1109/TCSI.2006.883882 PDF

_ 2006/October

• Ryosuke Hosaka, Tohru Ikeguchi, and Kazuyuki Aihara: ``Self-organizing Rhythmic Patterns with Spatio-temporal spikes in Class I and Class II Neural Networks,'' Lecture Notes in Computer Science, Vol.4232, pp.39--48 (2006).
  DOI:10.1007/11893028_5 PDF

_ 2006/September

• Yuichi Katori, Naoki Masuda, and Kazuyuki Aihara: ``Dynamic Switching of Neural Codes in Networks with Gap Junctions,'' Neural Networks, Vol.19, pp.1463--1466 (2006).
  DOI:10.1016/j.neunet.2006.04.003 PDF

• Ruiqi Wang, Luonan Chen, and Kazuyuki Aihara: ``Construction of Genetic Oscillators with Interlocked Feedback Networks,'' Journal of Theoretical Biology, Vol.242, pp.454--463 (2006--9).
  DOI:10.1016/j.jtbi.2006.03.015 PDF

• Gen Kurosawa, Kazuyuki Aihara, and Yoh Iwasa: ``A Model for the Circadian Rhythm of Cyanobacteria that Maintains Oscillation without Gene Expression,'' Biophysical Journal, Vol.91, pp.2015--2023 (2006--9).
  DOI:10.1529/biophysj.105.076554 PDF

• Taro Toyoizumi, Kazuyuki Aihara, and Shun-ichi Amari: ``Fisher Information for Spike-Based Population Decoding, Physical Review Letters, Vol.97, 098102 (2006--9).
  DOI:10.1103/PhysRevLett.97.098102 PDF

• Yoshihiro Morishita, Tetsuya J. Kobayashi, and Kazuyuki Aihara: ``An Optimal Number of Molecules for Signal Amplification and Discrimination in a Chemical Cascade,'' Biophysical Journal, Vol.91, pp.2072--2081 (2006--9).
  DOI:10.1529/biophysj.105.070797 PDF

_ 2006/August

• Chunguang Li, Luonan Chen, and Kazuyuki Aihara: ``Transient Resetting: A Novel Mechanism for Synchrony and Its Biological Examples,'' PLoS Computational Biology, Vol.2, No.8, pp.0925--0931 (2006).
  DOI:10.1371/journal.pcbi.0020103 PDF

• Hiromichi Suetani, Yukito Iba, and Kazuyuki Aihara: ``Detecting Generalized Synchronization Between Chaotic Signals: A Kernel-based Approach,'' Journal of Physics A: Math. Gen. Vol.39, pp.10723--10742 (2006--8).
  DOI:10.1088/0305-4470/39/34/009 PDF

• Yoshito Hirata, Hideyuki Suzuki, and Kazuyuki Aihara: ``Reconstructing State Spaces from Multivariate Data using Variable Delays,'' Physical Review E 74, 026202 (2006).
  DOI:10.1103/PhysRevE.74.026202 PDF

_ 2006/July

• Ruiqi Wang, Luonan Chen, and Kazuyuki Aihara: ``Synchronizing a Multicellular System by External Input: An Artificial Control Strategy,'' Bioinformatics, Vol.22, No.14, pp.1775--1781 (2006--7).
  DOI:10.1093/bioinformatics/btl182 PDF

• Takashi Takemoto, Takashi Kohno, and Kazuyuki Aihara: ``MOSFET Implementation of Class I* Neurons Coupled by Gap Junctions,'' Journal of Artificial Life and Robotics, Vol.10, No.1, pp.1--5 (2006--7).
  DOI:10.1007/s10015-005-0361-9 PDF

_ 2006/June

• Naoki Masuda, Goce Jakimoski, Kazuyuki Aihara, and Ljupco Kocarev: ``Chaotic Block Ciphers: from Theory to Practical Algorithms,'' IEEE Transactions on Circuits and Systems---I: Regular Papers, Vol.53, No.6, pp.1341--1352 (2006--6).
  DOI:10.1109/TCSI.2006.874182 PDF

_ 2006/May

_ 2006/April

• Dorjsuren Battogtokh, Kazuyuki Aihara, and John J. Tyson: ``Synchronization of Eukaryotic Cells by Periodic Forcing,'' Physical Review Letters, Vol.96, 148102 (2006--4).
  DOI:10.1103/PhysRevLett.96.148102 PDF

• Hiromichi Suetani, Yukito Iba, and Kazuyuki Aihara: ``Detecting Generalized Synchronization of Chaotic Dynamical Systems: A Kernel-based Method and Choice of Its Parameter,'' Progress of Theoretical Physics, Supplement No.161, pp.340--343 (2006--4).
  DOI:10.1143/PTPS.161.340 PDF

_ 2006/March

• Chunguang Li, Luonan Chen, and Kazuyuki Aihara: ``Synchronization of Coupled Nonidentical Genetic Oscillators,'' Physical Biology, Vol.3, pp.37--44 (2006--3).
  DOI:10.1088/1478-3975/3/1/004 PDF

• Kunichika Tsumoto, Tetsuya Yoshinaga, Hitoshi Iida, Hiroshi Kawakami, and Kazuyuki Aihara: ``Bifurcations in a Mathematical Model for Circadian Oscillations of Clock Genes,'' Journal of Theoretical Biology, Vol.239, No.1, pp.101--122 (2006--3).
  DOI:10.1016/j.jtbi.2005.07.017 PDF

• Kenji Morita, Kunichika Tsumoto, and Kazuyuki Aihara: ``Bidirectional Modulation of Neuronal Responses by Depolarizing GABAergic Inputs,'' Biophysical Journal, Vol.90, No.6, pp.1925--1938 (2006--3).
  DOI:10.1529/biophysj.105.063164 PDF

• Gouhei Tanaka, Borja Ibarz, Miguel A. F. Sanjuan, and Kazuyuki Aihara: ``Synchronization and Propagation of Bursts in Networks of Coupled Map Neurons,'' Chaos, Vol.16, No.1, 013113 (2006--3).
  DOI:10.1063/1.2148387 PDF

_ 2006/February

_ 2006/January

• Taro Toyoizumi and Kazuyuki 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).
  DOI:10.1142/S0218127406014630 PDF

• 関川宗久，稲葉直彦，合原一幸: 「Taming Chaos 現象のからくりII」,'' 電子情報通信学会論文誌(A)，Vol.J89-A, No.1, pp.84--87 (2006).
  DOI:unconfirmed PDF

• Kunichika Tsumoto, Hiroyuki Kitajima, Tetsuya Yoshinaga, Kazuyuki Aihara, and Hiroshi Kawakami: ``Bifurcations in Morris-Lecar Neuron Model,'' Neurocomputing, Vol.69, No.4--6, pp.293--316 (2006--1).
  DOI:10.1016/j.neucom.2005.03.006 PDF

_ 2006/unconfirmed

_ 2005/December

_ 2005/November

_ 2005/October

• Naoki Masuda, Brent Doiron, Andre Longtin, and Kazuyuki Aihara: ``Coding of Temporally Varying Signals in Networks of Spiking Neurons with Global Delayed Feedback,'' Neural Computation, Vol.17, No.10, pp.2139--2175 (2005--10).
  DOI:10.1162/0899766054615680 PDF

• Yoshito Hirata, Kevin Judd, and Kazuyuki Aihara: ``Characterizing Chaotic Response of a Squid Axon through Generating Partitions,'' Physics Letters A, Vol.346, pp.141--147 (2005--10).
  DOI:10.1016/j.physleta.2005.07.081 PDF

• Tianshou Zhou, Luonan Chen, and Kazuyuki Aihara: ``Molecular Communication through Stochastic Synchronization Induced by Extracellular Fluctuations,'' Physical Review Letters, Vol.95, 178103 (2005--10).
  DOI:10.1103/PhysRevLett.95.178103 PDF

• Tadayoshi Fushiki, Fumiyasu Komaki, and Kazuyuki Aihara: ``Nonparametric Bootstrap Prediction,'' Bernoulli, Vol.11, No.2, pp.293--307 (2005)--10.
  DOI:10.3150/bj/1116340296 PDF

_ 2005/September

• Kosuke Hamaguchi, Masato Okada, Michiko Yamana, and Kazuyuki Aihara: ``Correlated Firing in a Feedforward Network with Mexican-Hat-Type Connectivity,'' Neural Computation, Vol.17, No.9, pp.2034--2059 (2005--9).
  DOI:10.1162/0899766054322937 PDF

_ 2005/August

_ 2005/July

• Yoshihiro Morishita, Tetsuya Kobayashi, and Kazuyuki 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--7).
  DOI:10.1016/j.jtbi.2005.01.007 PDF

• Hideyuki Suzuki, Shunji Ito, and Kazuyuki Aihara: ``Double Rotations,'' Discrete and Continuous Dynamical Systems, Vol.13, No.2, pp.515--532 (2005--7).
  http://aimsciences.org/journals/pdfs.jsp?paperID=1019&mode=full PDF

_ 2005/June

• Kenji Morita and Kazuyuki Aihara: ``A Network Model with Pyramidal Cells and GABAergic Non-FS Cells in the Cerebral Cortex,'' Neurocomputing, Vol.65--66, pp.697--707 (2005--6).
  DOI:10.1016/j.neucom.2004.10.100 PDF

• Kenji Morita, Kunichika Tsumoto, and Kazuyuki Aihara: ``Possible Effects of Depolarizing GABA Conductance on the Neuronal Input-output Relationship: A Modeling Study,'' Journal of Neurophysiology, Vol.93, pp.3504--3523 (2005--6).
  DOI:10.1152/jn.00988.2004 PDF

• Kosuke Hamaguchi, Masato Okada, Shigeru Kubota, and Kazuyuki Aihara: ``Stochastic Resonance of Localized Activity Driven by Common Noise,'' Biological Cybernetics, Vol.92, No.6, pp.438--444 (2005--6).
  DOI:10.1007/s00422-005-0570-2 PDF

• Luonan Chen, Ruiqi Wang, Tianshou Zhou, and Kazuyuki Aihara: ``Noise-induced Cooperative Behavior in a Multicell System,'' Bioinformatics, Vol.21, No.11, pp.2722--2729 (2005--6).
  DOI:10.1093/bioinformatics/bti392 PDF

• Yoshihiko Horio, Tohru Ikeguchi, and Kazuyuki Aihara: ``A Mixed Analog/Digital Chaotic Neuro-computer System for Quadratic Assignment Problems,'' INNS Neural Networks, Vol.18, No.5-6, pp.505--513 (2005--6/7).
  DOI:10.1016/j.neunet.2005.06.022 PDF

_ 2005/May

• Takashi Kohno and Kazuyuki Aihara: ``A MOSFET-based model of a Class 2 Nerve membrane,'' IEEE Transactions on Neural Networks, Vol.16, No.3, pp.754--773 (2005--5).
  DOI:10.1109/TNN.2005.844855 PDF

_ 2005/April

• Gouhei Tanaka and Kazuyuki Aihara: ``Multistate Associative Memory with Parametrically Coupled Map Networks,'' International Journal of Bifurcation and Chaos, Vol.15, No.4, pp.1395--1410 (2005--4).
  DOI:10.1142/S0218127405012673 PDF

• Taro Toyoizumi, Jean-Pascal Pfister, Kazuyuki Aihara, and Wulfram Gerstner: ``Generalized Bienenstock-Cooper-Munro Rule for Spiking Neurons that Maximizes Information Transmission,'' Proc. Natl. Acad. Sci. USA, Vol.102, No.14, pp.5239--5244 (2005--4).
  DOI:10.1073/pnas.0500495102 PDF

• Shigeru Kubota and Kazuyuki Aihara: ``Analyzing Global Dynamics of a Neural Field Model,'' Neural Processing Letters, Vol.21, No.2, pp.133--141 (2005--4).
  DOI:10.1007/s11063-004-3425-2 PDF

_ 2005/March

• Yoshihiko Horio, Takuya Taniguchi, and Kazuyuki Aihara: ``An Asynchronous Spiking Chaotic Neuron Integrated Circuit,'' Neurocomputing, Vol.64, pp.447--472 (2005--3).
  DOI:10.1016/j.neucom.2004.09.001 PDF

_ 2005/February

_ 2005/January

• Gouhei Tanaka, Miguel A.F. Sanjuan, and Kazuyuki Aihara: ``Crisis-induced intermittency in two coupled chaotic maps: Towards understanding chaotic itinerancy,'' Physical Review E, Vol.71, pp.016219-1--11 (2005--1).
  DOI:10.1103/PhysRevE.71.016219 PDF

_ 2005/unconfirmed

_ 2004/December

• Tsuyoshi Okamoto, Masataka Watanabe, Kazuyuki Aihara, and Shunsuke 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--12).
  DOI:10.1007/s00422-004-0528-9 PDF

_ 2004/November

• Hiroaki Tanaka and Kazuyuki Aihara: ``Analysis of the Hodgkin-Huxley Equations with Noise: the Effects of Noise on Chaotic Neurodynamics,'' Artificial Life and Robotics, Vol.8, No.2, pp.190--196 (2004).
  DOI:10.1007/s10015-004-0311-y PDF

_ 2004/October

_ 2004/September

_ 2004/August

• Ryota Tomioka, Hidenori Kimura, Tetsuya J. Kobayashi, and Kazuyuki Aihara: ``Multivariate Analysis of Noise in Genetic Regulatory Networks,'' Journal of Theoretical Biology, Vol.229, pp.501--521 (2004).
  DOI:10.1016/j.jtbi.2004.04.034 PDF

_ 2004/July

• Luonan Chen, Ruiqi Wang, Tetsuya J. Kobayashi, and Kazuyuki Aihara: ``Dynamics of Gene Regulatory Networks with Cell Division Cycle,'' Physical Review E, Vol.70, pp.011909-1--12 (2004).
  DOI:10.1103/PhysRevE.70.011909 PDF

_ 2004/June

• Yoshihiro Morishita and Kazuyuki Aihara: ``Noise-Reduction through Interaction in Gene Expression and Biochemical Reaction Processes,'' Journal of Theoretical Biology, Vol.228, pp.315--325 (2004).
  DOI:10.1016/j.jtbi.2004.01.007 PDF

• Kazuyuki Aihara, Ichiro Tsuda, and Hiroshi Fujii: ``Prologue - The Work of the Late Professor Gen Matsumoto,'' Journal of Integrative Neuroscience, Vol.3, No.2, pp.111--113 (2004).
  DOI:10.1142/S0219635204000464 PDF

• Hiroshi Fujii, Kazuyuki Aihara, and Ichiro 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).
  DOI:10.1142/S0219635204000506 PDF

• 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).
  DOI:10.1016/j.neucom.2004.01.019 PDF

• 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).
  DOI:10.1142/S0218127404010564 PDF

_ 2004/May

_ 2004/April

• Naoki Masuda and Kazuyuki Aihara: ``Global and Local Synchrony of Coupled Neurons in Small-world Networks,'' Biological Cybernetics, Vol.90, No.4, pp.302--309 (2004).
  DOI:10.1007/s00422-004-0471-9 PDF

• 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).
  DOI:10.1209/epl/i2003-10151-x PDF

• 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).
  DOI:10.1142/S0218127404009867 PDF

_ 2004/March

• Naoki Masuda, Norio Konno, and Kazuyuki Aihara: ``Transmission of severe acute respiratory syndrome in dynamical small-world networks,'' Physical Review E, 69, 031917 (2004).
  DOI:10.1103/PhysRevE.69.031917 PDF

• N. Masuda and K. Aihara: ``Self-organizing Dual Coding based on Spike-Time-Dependent Plasticity,'' Neural Computation, Vol.16, pp.627-663 (2004).
  DOI:10.1162/089976604772744938 PDF

_ 2004/February

_ 2004/January

• Shigeru Kubota and Kazuyuki Aihara: ``Computational Model of Obsessive--Compulsive Disorder: A Unified Explanation of the Treatments,'' International Journal of Bifurcation and Chaos, NVol.14, No.1, pp.263--277 (2004--1).
  DOI:10.1142/S0218127404009156 PDF

_ 2004/unconfirmed

• Tianshou Zhou, Luonan Chen, Ruiqi Wang, and Kazuyuki Aihara: ``Intercellular Communications Induced by Random Fluctuations,'' Genome Informatics, Vol.15, No.2, pp.223--233 (2004).
  http://www.jsbi.org/modules/journal1/index.php/GIW04/GIW04F023.pdf PDF

• 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).
  DOI:10.1016/j.neucom.2004.01.027 PDF

_ 2003

• 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).
  DOI:10.1063/1.1528750 PDF

• N. Masuda and K. Aihara: ``Duality of Rate Coding and Temporal Coding in Multilayered Feedforward Networks,'' Neural Computation, Vol. 15, pp. 103-125 (2003).
  DOI:10.1162/089976603321043711 PDF

• 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).
  DOI:10.1142/S0218127403008703 PDF

• 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).
  DOI:10.1063/1.1601912 PDF

• M. Watanabe, T. Masuda, and K. Aihara: ``Forward Propagating Reinforcement Learning -- Biologically Plausible Learning Method for Multi-Layer Networks,'' Bio Systems, Vol. 71, pp. 213-220 (2003).
  DOI:10.1016/S0303-2647(03)00127-8 PDF

• 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).
  DOI:10.1109/TNN.2003.816349 PDF

• 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).
  DOI:unconfirmed

• N. Masuda and K. Aihara: ``Spatial Prisoner's Dilemma Optimally Played in Small-world Networks,'' Physics Letters A, Vol. 313, pp. 55-61 (2003).
  DOI:10.1016/S0375-9601(03)00693-5 PDF

• 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).
  DOI:10.1142/S0218127403006832 PDF

• 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).
  DOI:10.1152/jn.00630.2002 PDF

• N. Masuda and K. Aihara: ``Filtered Interspike Interval Encoding by Class II Neurons,'' Physics Letters A, Vol. 311, pp. 485-490 (2003).
  DOI:10.1016/S0375-9601(03)00498-5 PDF

• H. Takahashi and K. Aihara: ``Algorithmic Analysis of Irrational Rotations in a Single Neuron Model,'' J. Complexity, Vol. 19, pp. 132-152 (2003).
  DOI:10.1016/S0885-064X(02)00017-1 PDF

• N. Masuda and K. Aihara: ``Ergodicity of Spike Trains: When Does Trial Averaging Make Sense?,'' Neural Computation, Vol. 15, pp. 1341-1372 (2003).
  DOI:10.1162/089976603321780308 PDF

• 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).
  DOI:10.1006/jtbi.2003.3190 PDF

• 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).
  DOI:10.1007/BF02480886 PDF

• I. Tokuda, R. Tokunaga, and K. Aihara: ``Back-Propagation Learning of Infinite-Dimensional Dynamical Systems,'' Neural Networks, Vol. 16, pp. 1179-1193 (2003).
  DOI:10.1016/S0893-6080(03)00076-5 PDF

_ 2002

• 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).
  DOI:10.1023/A:1021786719535 PDF

• 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).
  DOI:unconfirmed

• 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).
  DOI:10.1142/S0218127402005686 PDF

• 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).
  DOI:10.1109/TCSI.2002.803354 PDF

• K. Aihara and I. Tokuda: ``Possible Neural Coding with Interevent Intervals of Synchronous Firing,'' Phys. Rev. E, Vol. 66, 026212 (2002).
  DOI:10.1103/PhysRevE.66.026212 PDF

• 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).
  DOI:10.1109/JPROC.2002.1015014 PDF

• N. Masuda and K. Aihara: ``Cryptosystems with Discretized Chaotic Maps,'' IEEE Trans. CAS 1, Vol. 49, No. 1, pp. 28-40 (2002).
  DOI:10.1109/81.974872 PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:10.1109/TCSI.2002.1001949 PDF

• N. Masuda and K. Aihara: ``Spatiotemporal Spike Encoding of a Continuous External Signal,'' Neural Computation, Vol. 14, pp. 1599-1628 (2002).
  DOI:10.1162/08997660260028638 PDF

• 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).
  DOI:10.1016/S0377-2217(01)00189-8 PDF

• M. Hasegawa, T. Ikeguchi and K. Aihara: ``Solving Large Scale Traveling Salesman Problems by Chaotic Neurodynamics,'' Neural Networks, Vol. 15, pp. 271-283 (2002).
  DOI:10.1016/S0893-6080(02)00017-5 PDF

• 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).
  DOI:10.1103/PhysRevLett.88.248101 PDF

• 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).
  DOI:10.1103/PhysRevE.65.051906 PDF

• 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).
  DOI:10.1098/rspa.2002.1012 PDF

_ 2001

• 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).
  DOI:10.1007/BF02481318 PDF

• G. Froyland and K. Aihara: ``Estimating Statistics of Neuronal Dynamics via Markov Chains,'' Biol. Cybern., Vol. 84, pp. 31-40 (2001).
  DOI:10.1007/PL00007979 PDF

• 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).
  PDF

• 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).
  DOI:10.1016/S0893-6080(01)00036-3 PDF

• 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).
  DOI:unconfirmed

• 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).
  DOI:10.1142/S0218127401002857 PDF

• N. Ichinose and K. Aihara: ``Detection of Mutual Determinism between a Pair of Spike Trains,'' Biological Cybernetics, Vol. 85, pp. 327-333 (2001).
  DOI:10.1007/s004220100261 PDF

• 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).
  DOI:10.1162/089976601317098538 PDF

• N. Masuda and K. Aihara: ``Synchronization of Pulse-coupled Excitable Neurons,'' Physical Review E, Vol. 64, 051906, pp. 1-13 (2001).
  DOI:10.1103/PhysRevE.64.051906 PDF

• 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).
  DOI:10.1103/PhysRevE.64.046202 PDF

• 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).
  DOI:10.1142/S0218127401002894 PDF

• 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).
  DOI:10.1121/1.1413749 PDF

• K. Aihara and J.K. Ryeu: ``Chaotic Neurons and Analog Computation,'' Behavioral and Brain Sciences, Vol. 24, No. 5, pp. 810-811 (2001).
  DOI:unconfirmed PDF

• H. Ito and K. Aihara: ``Combination of the Actor/Critic Algorithm with Goal-Directed Reasoning, and the Appearance and Disappearance of Hierarchical Structure,'' Artificial Life and Robotics, Vol. 5, No. 4, pp. 1433-5298 (2001).
  DOI:10.1007/BF02481507 PDF

_ 2000

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:10.1007/s004220050584 PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:10.1007/s004220050598 PDF

• 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).
  DOI:10.1142/S0218127400001559

• 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).
  DOI:10.1023/A:1009626028831 PDF

• 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).
  DOI:10.1098/rsta.2000.0615 PDF

• 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).
  DOI:unconfirmed

• 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).
  DOI:10.1142/S0218127400001213

• 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).
  DOI:10.1109/81.886976 PDF

• 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).
  DOI:10.1016/S0303-2647(00)00130-1 PDF

_ 1999

• L. Chen and K. Aihara: ``Global Searching Ability of Chaotic Neural Networks,'' Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on, Vol. 46, Issue 8, pp.974-993 (1999).
  DOI:10.1109/81.780378 PDF

• K. Aihara and N. Ichinose: ``Modeling and Complexity in Neural Networks,'' Artificial Life and Robotics, Volume 3, Number 3, pp. 148-154 (1999) DOI:10.1007/BF02481131 PDF

• K. Aihara and N. Ichinose: ``Modeling and Complexity in Neural Networks,'' J. of Artificial Life and Robotics, Vol. 3, pp. 148-154 (1999).
  DOI:10.1007/BF02481131 PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed

• 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).
  DOI:10.1142/S0218127499001528

_ 1998

• T. Tanaka, K. Aihara and M. Taki: ``Analysis of Positive Lyapunov Exponents from Random Time Series,'' Physica D, Vol. 111, pp. 42-50 (1998).
  DOI:10.1016/S0167-2789(97)80004-8 PDF

• 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).
  DOI:10.1098/rspa.1998.0270 PDF

• M. Watanabe, K. Aihara and S. Kondo: ``A Dynamical Neural Network with Temporal Coding and Functional Connectivity,'' Biol. Cybern., Vol. 78, pp. 87-93 (1998).
  DOI:10.1007/s004220050416 PDF

• 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).
  DOI:10.1142/S021812749800190X

• 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).
  DOI:10.1142/S0218127498000413

• O. Araki and K. Aihara: ``Dynamical Neural Network Model for Hippocampal Memory,'' IEICE Trans. Fundamentals, Vol. E81-A, No. 9, pp. 1823-1832 (1998).
  DOI:unconfirmed PDF

• Y. Sakumura and K. Aihara: ``A Neuronal Time Window for Coincidence Detection,'' IEICE Trans. Fundamentals, Vol. E81-A, No. 9, pp. 1818-1823 (1998).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed PDF

• I. Tokuda, K. Aihara and T. Nagashima: ``Adaptive annealing for chaotic optimization,'' Physical Review E, Vol. 58, No. 4, pp. 5157-5160 (1998).
  DOI:10.1103/PhysRevE.58.5157 PDF

• 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).
  DOI:unconfirmed

_ 1997

• M. Adachi and K. Aihara: ``Associative Dynamics in a Chaotic Neural Network,'' Neural Networks, Vol. 10, No. 1, pp. 83-98 (1997-1).
  DOI:10.1016/S0893-6080(96)00061-5 PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed

• 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).
  DOI:unconfirmed

• T. Ikeguchi and K. Aihara: ``Difference Correlation Can Distinguish Deterministic Chaos from 1/(f^α)-type Colored Noise,'' Physical Review E, Vol. 55, No. 3, pp. 2530-2538 (1997-3).
  DOI:10.1103/PhysRevE.55.2530 PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:10.1142/S0218127497001011

• L. Chen and K. Aihara: ``Chaos and Asymptotical Stability in Discrete-time Neural Networks,'' Physica D, Vol. 104, pp. 286-325 (1997).
  DOI:10.1016/S0167-2789(96)00302-8 PDF

• 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).
  DOI:10.1016/S0893-6080(97)00023-3 PDF

• 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).
  DOI:10.1103/PhysRevLett.79.2344 PDF

• M. Watanabe and K. Aihara: ``Chaos in Neural Networks Composed of Coincidence Detector Neurons,'' Neural Networks, Vol. 10, No. 8, pp. 1353-1359 (1997).
  DOI:10.1016/S0893-6080(97)00037-3 PDF

_ 1996

• 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).
  DOI:10.1142/S0218127496001892

• T. Tanaka, K. Aihara and M. Taki: ``Lyapunov Exponents of Random Time Series,'' Physical Review E, Vol. 54, No. 2, 2122-2124 (1996-8).
  DOI:10.1103/PhysRevE.54.2122 PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:10.1016/S0893-6080(96)00054-8 PDF

_ 1995

• 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).
  DOI:unconfirmed

• T. Ikeguchi and K. Aihara: ``Prediction of Chaotic Time Series with Noise,'' IEICE. Trans. Fundamentals, Vol. E78-A, No. 10, pp. 1291-1298 (1995).
  DOI:unconfirmed PDF

• K. Aihara and R. Katayama: ``Chaos Engineering in Japan,'' Communications of the ACM, Vol. 38, No. 11, pp. 103-107 (1995).
  DOI:10.1145/219717.219801 PDF

• 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).
  DOI:10.1016/0893-6080(95)00033-V PDF

_ 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).
  DOI:unconfirmed PDF

• 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).
  DOI:10.1142/S0218127494000332

_ 1993

• 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).
  DOI:10.1016/0893-6080(93)90017-Q PDF

• 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).
  DOI:unconfirmed PDF

_ 1992

• 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).
  DOI:unconfirmed PDF

• 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).
  DOI:10.1016/0375-9601(92)90802-S PDF

• 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).
  DOI:unconfirmed

_ 1991

• 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).
  DOI:10.1142/S0218127491000129

• 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).
  DOI:unconfirmed PDF

_ 1990

• K. Aihara, T. Takabe and M. Toyoda: ``Chaotic Neural Networks,'' Physics Letters A, Vol. 144, No. 6/7, pp. 333-340 (1990).
  DOI:unconfirmed PDF

• 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).
  DOI:unconfirmed PDF

• T. Kohda and K. Aihara: ``Chaos in Discrete Systems and Diagnosis of Experimental Chao,'' The Transaction of the IEICE, Vol. E73, No. 6, pp. 772-783 (1990).
  DOI:unconfirmed PDF

_ 1989

• 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).
  DOI:unconfirmed PDF

_ 1987

• 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).
  DOI:10.1016/0375-9601(87)90696-7 PDF

_ 1986

• 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).
  DOI:10.1016/0375-9601(86)90578-5 PDF

_ 1985

• 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).
  DOI:10.1016/0375-9601(85)90256-7 PDF

_ 1984

• 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).
  DOI:unconfirmed

• 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).
  DOI:10.1016/S0022-5193(84)80005-3 PDF

_ 1983

• K. Aihara and G. Matsumoto: ``Two Stable Steady States in the Hodgkin-Huxley Axons,'' Biophysical J., Vol. 41, No. 1, pp. 87-89 (1983).
  DOI:10.1016/S0006-3495(83)84408-7 PDF

_ 1982

• 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).
  DOI:10.1143/JPSJ.51.942 PDF

• 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).
  DOI:10.1016/0022-5193(82)90349-6 PDF