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Transitional Dynamics and Quasi-Periodic Solution Observed in Two Asymmetrical Coupled Oscillators
Kuniyasu SHIMIZU Tetsuro ENDO Takuya YOSHIMURA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/01/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Problems
coupled oscillator system, asymmetrical system, transitional dynamics, quasi-periodic solution, saddle-node bifurcation, unstable manifold,
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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.