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Transitional Dynamics and Quasi-Periodic Solution Observed in Two Asymmetrical Coupled Oscillators
Kuniyasu SHIMIZU
Tetsuro ENDO
Takuya YOSHIMURA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E92-A No.1 pp.270-278
Publication Date: 2009/01/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword:
coupled oscillator system,
asymmetrical system,
transitional dynamics,
quasi-periodic solution,
saddle-node bifurcation,
unstable manifold,
Full Text: PDF(827.3KB)
Summary:
In this paper, we investigate the transitional dynamics and quasi-periodic solution appearing after the Saddle-Node (SN) bifurcation of a periodic solution in an inductor-coupled asymmetrical van der Pol oscillators with hard-type nonlinearity. In particular, we elucidate, by investigating global bifurcation of unstable manifold (UM) of saddles, that transitional dynamics and quasi-periodic solution after the SN bifurcation appear based on different structure of UM.
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