Presentation 2005-01-25
Pulse-coupled neuron circuits with triangular inputs and bifurcation phenomena
Yoshio KONNO, Toshimichi SAITO, Hiroyuki TORIKAI,
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Abstract(in English) This paper studies basic dynamics of pulse-coupled two bifurcating neurons with triangular base signal. The dynamics of unit neuron can be simplified into a piecewise-linear pulse-position map. The dynamics of the pulse-coupled neurons corresponds to a composite-map of the pulse-position maps of two neurons. Using the maps we clarify that the pulse-coupling can cause rich phenomena including chaos and complicated superstable periodic orbits. Our results may provide useful information for analysis of novel bifurcation phenomena and applications to efficient pulse-coupled neural networks.
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Keyword(in English) Spiking oscillator / pulse-coupled neural networks / bifurcation / chaos / synchronization
Paper # NLP2004-105
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Committee NLP
Conference Date 2005/1/18(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Pulse-coupled neuron circuits with triangular inputs and bifurcation phenomena
Sub Title (in English)
Keyword(1) Spiking oscillator
Keyword(2) pulse-coupled neural networks
Keyword(3) bifurcation
Keyword(4) chaos
Keyword(5) synchronization
1st Author's Name Yoshio KONNO
1st Author's Affiliation Department of Electronics, Electrical and Computer Engineering, Hosei University()
2nd Author's Name Toshimichi SAITO
2nd Author's Affiliation Department of Electronics, Electrical and Computer Engineering, Hosei University
3rd Author's Name Hiroyuki TORIKAI
3rd Author's Affiliation Department of Electronics, Electrical and Computer Engineering, Hosei University
Date 2005-01-25
Paper # NLP2004-105
Volume (vol) vol.104
Number (no) 584
Page pp.pp.-
#Pages 5
Date of Issue