Presentation 2011-06-30
Circuit-Oriented Chaos Dynamics based on the Duffing Equation and Experiments of Chaotic Resonance with Analog Electronic Circuits
Kazuyoshi ISHIMURA, Tetsuya ASAI, Masato MOTOMURA,
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Abstract(in English) Stochastic resonance (SR) is one of the phenomena where dynamic noises are effectively used to induce state transition in a double-well potential system with subthreshold driving forces. The noises are given to the system as an additional force, which results in the requirement of extra noise sources. Recently, a phenomenon called "chaotic resonance" (CR) has been spotlighted in the literature. CR can be observed in chaotic systems which have i) multiple strange attractors and ii) ability to accept external forces to cause transitions between the attractors. In such chaotic systems, chaotic fluctuation, instead of noises in SR systems, could effectively be used to cause the attractor transition, which may result in CR under certain parameter conditions; i.e., CR systems do not require any external noise source, unlike traditional SR systems. In this report, we employed the Duffing system as a possible candidate of CR systems. To demonstrate CR on electronic analog circuits, we introduce a modified Duffing system which is described by dynamics of harmonic oscillators with a nonlinear transition function. We then implement the modified Duffing system, and conduct the SPICE simulations as well as the experiments by using discrete MOS devices. The circuit was driven by a sinusoidal voltage source as a subthreshold driving force, and the frequency was swept to control the oscillation modes (chaotic or periodic). In a certain range of the frequency, we observed chaotic transition between two operational regions, whereas no transition between the operational regions was observed in the other frequency range, which indicated that chaotic fluctuation certainly assisted the state transition.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) chaotic resonance / Duffing equation / fluctuation
Paper # NLP2011-25
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Conference Information
Committee NLP
Conference Date 2011/6/23(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) Circuit-Oriented Chaos Dynamics based on the Duffing Equation and Experiments of Chaotic Resonance with Analog Electronic Circuits
Sub Title (in English)
Keyword(1) chaotic resonance
Keyword(2) Duffing equation
Keyword(3) fluctuation
1st Author's Name Kazuyoshi ISHIMURA
1st Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University()
2nd Author's Name Tetsuya ASAI
2nd Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University
3rd Author's Name Masato MOTOMURA
3rd Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University
Date 2011-06-30
Paper # NLP2011-25
Volume (vol) vol.111
Number (no) 106
Page pp.pp.-
#Pages 6
Date of Issue