Presentation 1999/9/21
A Study on Modified Rayleigh/Duffing/van der Pol Equation
Yoshisuke Ueda, Yuuichirou Ikeda,
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Abstract(in English) Two-dimensional non-autonomous periodic systems have various steady oscillations depending on its external frequency and amplitude. The phenomenon of frequency entrainment is the case where the ratio of the external frequency and the frequency of steady states is rational. In this paper, we take up Modified Rayleigh/Duffing/van der Pol Equation, and study the regions of frequency entrainment in the parameter space of the external force by computer analysis. We also study the phase portrait for the purpose of investigating the bifurcation of oscillations.
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Keyword(in English) non-autonomous periodic systems / frequency entrainment / phase portrait / bifurcation of oscillations
Paper # NLP99-70
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Committee NLP
Conference Date 1999/9/21(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) A Study on Modified Rayleigh/Duffing/van der Pol Equation
Sub Title (in English)
Keyword(1) non-autonomous periodic systems
Keyword(2) frequency entrainment
Keyword(3) phase portrait
Keyword(4) bifurcation of oscillations
1st Author's Name Yoshisuke Ueda
1st Author's Affiliation Department of Electrical Engineering, Kyoto University()
2nd Author's Name Yuuichirou Ikeda
2nd Author's Affiliation Department of Electrical Engineering, Kyoto University
Date 1999/9/21
Paper # NLP99-70
Volume (vol) vol.99
Number (no) 323
Page pp.pp.-
#Pages 8
Date of Issue