Presentation 2006-12-13
Energy-based analysis of frequency entrainment described by van der Pol and PLL equations
Yoshihiko SUSUKI, Yuuichi YOKOI, Takashi HIKIHARA,
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Abstract(in English) This paper is devoted to an analysis of frequency entrainment described by van der Pol and PLL equations. The frequency entrainment stems from two different types of self-sustained oscillations, and the mechanism of entrainment has not been fully understood. The use of an energy balance relation is proposed in this paper to analyze the frequency entrainment. The energy balance relation is equivalent to the energy conservation law of dynamical systems which contain dissipation and input terms. This paper numerically and theoretically investigates the frequency entrainment via energy balance relation and response curves. They provide characteristic features of dc component, harmonic amplitude, phase difference, and supplied energy by driving oscillatory force. The obtained results show that the frequency entrainment described by the two equations have different features of supplied energy.
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Keyword(in English) frequency entrainment / energy conservation law / van der Pol equation / PLL equation
Paper # NLP2006-100
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Committee NLP
Conference Date 2006/12/6(1days)
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Registration To Nonlinear Problems (NLP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Energy-based analysis of frequency entrainment described by van der Pol and PLL equations
Sub Title (in English)
Keyword(1) frequency entrainment
Keyword(2) energy conservation law
Keyword(3) van der Pol equation
Keyword(4) PLL equation
1st Author's Name Yoshihiko SUSUKI
1st Author's Affiliation Kyoto University, Department of Electrical Engineering()
2nd Author's Name Yuuichi YOKOI
2nd Author's Affiliation Kyoto University, Department of Electrical Engineering
3rd Author's Name Takashi HIKIHARA
3rd Author's Affiliation Kyoto University, Department of Electrical Engineering
Date 2006-12-13
Paper # NLP2006-100
Volume (vol) vol.106
Number (no) 413
Page pp.pp.-
#Pages 6
Date of Issue