Filter-Induced Bifurcation of Simple Spike-Train Dynamics

[1]  N. Farhat,et al.  Analog realization of arbitrary one-dimensional maps , 2003 .

[2]  Hiroyuki Torikai,et al.  Theoretical and Heuristic Synthesis of Digital Spiking Neurons for Spike-Pattern-Division Multiplexing , 2010, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[3]  J. Rinzel,et al.  INTEGRATE-AND-FIRE MODELS OF NERVE MEMBRANE RESPONSE TO OSCILLATORY INPUT. , 1981 .

[4]  Hiroyuki Torikai,et al.  Synchronization via multiplex pulse trains , 1999 .

[5]  Neslihan Serap Sengör,et al.  Learning How to Select an Action: A Computational Model , 2012, ICANN.

[6]  DeLiang Wang,et al.  Synchrony and Desynchrony in Integrate-and-Fire Oscillators , 1999, Neural Computation.

[7]  E. Ott.  Chaos in Dynamical Systems: Contents , 1993 .

[8]  Toshimichi Saito,et al.  Quantized Spiking Neuron With A/D Conversion Functions , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[9]  Toshimichi Saito,et al.  Analysis of Composite Dynamics of Two Bifurcating Neurons , 2005, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[10]  Nikolai F. Rulkov,et al.  Digital communication using chaotic-pulse-position modulation , 2001 .

[11]  Toshimichi Saito,et al.  Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators , 2004, IEEE Transactions on Neural Networks.

[12]  Hiroyuki Torikai,et al.  An artificial chaotic spiking neuron inspired by spiral ganglion cell: Paralleled spike encoding, theoretical analysis, and electronic circuit implementation , 2009, Neural Networks.

[13]  Eugene M. Izhikevich,et al.  Simple model of spiking neurons , 2003, IEEE Trans. Neural Networks.

[14]  Hiroyuki Torikai,et al.  Resonance phenomenon of interspike intervals from a spiking oscillator with two periodic inputs , 2001 .

[15]  Toshimichi Saito,et al.  Bifurcation phenomena of simple pulse-coupled spiking neuron models with filtered base signal , 2013, The 2013 International Joint Conference on Neural Networks (IJCNN).

[16]  Leon Glass,et al.  Bistability, period doubling bifurcations and chaos in a periodically forced oscillator , 1982 .

[17]  Toshimichi Saito,et al.  Basic Dynamics of Simple Delay-Coupled Bifurcating Neurons , 2011, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[18]  André Grüning,et al.  Improved spike-timed mappings using a tri-phasic spike timing-dependent plasticity rule , 2012, The 2012 International Joint Conference on Neural Networks (IJCNN).

[19]  S. Strogatz,et al.  Synchronization of pulse-coupled biological oscillators , 1990 .

[20]  Jürgen Kurths,et al.  Synchronization of Hopfield Like Chaotic Neural Networks with Structure Based Learning , 2012, ICONIP.

[21]  Nabil H. Farhat,et al.  The bifurcating neuron network 3 , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..