Presentation 2006-03-21
Mechanism of chaotic phenomena in a RCL circuit with periodic pulse-train input
Yasuhiro HIRASHIMA, Yusuke MATSUOKA, Toshimichi SAITO,
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Abstract(in English) This paper studies chaotic behavior of a simple nonautonomaous circuit consisting of an RCL resonator and one reset switch depending on both capacitor voltage and periodic pulse-train input. If the periodic input does not present, the circuit can exhibit either simple periodic or equilibrium attractor. If the periodic input is applied the circuit can exhibit chaotic behavior: an RCL resonator is changed into a chaotic circuit by the nonlinear switch. In order to analyze the dynamics systematically, we derive a 1-D return map focusing on the timing when the periodic pulse-train input is applied. Using the return map, we investigate generation scenario of chaos. Presenting a simple test circuit, typical phenomena are confirmed experimentally.
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Keyword(in English) Chaos / bifurcation / spiking neuron / return map / resonator
Paper # NLP2005-151
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Committee NLP
Conference Date 2006/3/14(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) Mechanism of chaotic phenomena in a RCL circuit with periodic pulse-train input
Sub Title (in English)
Keyword(1) Chaos
Keyword(2) bifurcation
Keyword(3) spiking neuron
Keyword(4) return map
Keyword(5) resonator
1st Author's Name Yasuhiro HIRASHIMA
1st Author's Affiliation Department of Electronics, Electrical and Computer Engineering, Hosei University()
2nd Author's Name Yusuke MATSUOKA
2nd Author's Affiliation Department of Electronics, Electrical and Computer Engineering, Hosei University
3rd Author's Name Toshimichi SAITO
3rd Author's Affiliation Department of Electronics, Electrical and Computer Engineering, Hosei University
Date 2006-03-21
Paper # NLP2005-151
Volume (vol) vol.105
Number (no) 676
Page pp.pp.-
#Pages 6
Date of Issue