Presentation 1994/12/16
Chaos and Bifurcation from a hysteresis neural net
Takahiko Nakamura, Kenya Jinno, Toshimichi Saitou,
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Abstract(in English) This paper considers a coupled system of three identical piecewise linear oscillators.Its nonlinearity is only bipolar hysteresis and we focus on the case of two control parameters.It is fundamental to analyze dynamics from artificial hysteresis neural network.We can derive the return map by using piecewise exact solutions.Using both numerical simulation and laboratory experiment,we have clarified that such simple system can generate chaos.We have also clarified two basic routes to chaos:torus to chaos and periodicity to chaos.
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Keyword(in English) Coupled Oscillators / Neural Networks / Chaos / Tori / Lyapunov exponents
Paper # NLP94-75
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Conference Information
Committee NLP
Conference Date 1994/12/16(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Chaos and Bifurcation from a hysteresis neural net
Sub Title (in English)
Keyword(1) Coupled Oscillators
Keyword(2) Neural Networks
Keyword(3) Chaos
Keyword(4) Tori
Keyword(5) Lyapunov exponents
1st Author's Name Takahiko Nakamura
1st Author's Affiliation college of Engineering,Hosei University()
2nd Author's Name Kenya Jinno
2nd Author's Affiliation college of Engineering,Hosei University
3rd Author's Name Toshimichi Saitou
3rd Author's Affiliation college of Engineering,Hosei University
Date 1994/12/16
Paper # NLP94-75
Volume (vol) vol.94
Number (no) 418
Page pp.pp.-
#Pages 7
Date of Issue