Presentation 2001/3/9
Bifurcation from A Piecewise-Constant Circuit
Kenichi Hoshino, Tadashi Tsubone, Toshimichi Saito,
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Abstract(in English) We propose a 3-D hysteresis piecewise-constant circuit. The circuit consists of linear capacitors and nonlinear voltage controlled current sources. This circuit is extremely simple, but exhibits interesting bifurcation phenomena. The state equation is shown by piecewise-constant equation, and the system dynamics can be simplified into a piecewise-linear return map. Using the return map, the bifurcation phenomena are clarified almost completely.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Bifurcation Phenomena / Piecewise-Constant System / Piecewise-Linear Return Map / Chaos
Paper # NLP2000-156
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Conference Information
Committee NLP
Conference Date 2001/3/9(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) Bifurcation from A Piecewise-Constant Circuit
Sub Title (in English)
Keyword(1) Bifurcation Phenomena
Keyword(2) Piecewise-Constant System
Keyword(3) Piecewise-Linear Return Map
Keyword(4) Chaos
1st Author's Name Kenichi Hoshino
1st Author's Affiliation Department of Electrical Electronic Engineering, HOSEI University()
2nd Author's Name Tadashi Tsubone
2nd Author's Affiliation Department of Electrical Electronic Engineering, HOSEI University
3rd Author's Name Toshimichi Saito
3rd Author's Affiliation Department of Electrical Electronic Engineering, HOSEI University
Date 2001/3/9
Paper # NLP2000-156
Volume (vol) vol.100
Number (no) 680
Page pp.pp.-
#Pages 7
Date of Issue