Presentation 2001/11/22
Properties of coupled oscillators for strong nonlinearity
Tetsuro ENDO, Yuhki ARUGA, Akio HASEGAWA,
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Abstract(in English) In this paper we investigate bifurcations of modes in three-coupled oscillators with hard and soft nonlincarity with the increase of parameter ε showing the degree of nonlinearity. The stability of modes in such a system for small ε was already analyzed via averaging theory. Therefore, we start from the stable modes for small ε, and increase ε gradually to observe bifurcations of modes. Through the numerical analysis using the shooting method, Runge Kutta method and Fast Fourier Transform, we have clarified how the modes (the same-phase, the reverse-phase, the double and triple modes) which exist for small ε, bifurcate when ε becomes larger.
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Keyword(in English) coupled oscillators / modes of oscillation / strong nonlinearity / bifurcation
Paper # NLP2001-71
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Committee NLP
Conference Date 2001/11/22(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) Properties of coupled oscillators for strong nonlinearity
Sub Title (in English)
Keyword(1) coupled oscillators
Keyword(2) modes of oscillation
Keyword(3) strong nonlinearity
Keyword(4) bifurcation
1st Author's Name Tetsuro ENDO
1st Author's Affiliation Department of Electronics and Communication, Meiji University()
2nd Author's Name Yuhki ARUGA
2nd Author's Affiliation Department of Electronics and Communication, Meiji University
3rd Author's Name Akio HASEGAWA
3rd Author's Affiliation Department of Electrical and Electronic Engineering, Gifu University
Date 2001/11/22
Paper # NLP2001-71
Volume (vol) vol.101
Number (no) 465
Page pp.pp.-
#Pages 5
Date of Issue