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Origin of the Transition Inside the Desynchronized State in Coupled Chaotic Oscillators

By Chil-Min Kim, Won-Ho Kye, Sunghwan Rim, Dong-Uk Hwang, Inbo Kim, Young-Jai Park and Eok-Kyun Lee

Abstract

We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic relation is $ \propto \exp(\alpha|\epsilon_t -\epsilon|^{3/2})$ for $\epsilon_t -\epsilon \propto (\epsilon_t -\epsilon)^{-1/2}$ for $\epsilon_t -\epsilon >0$, where $$ is the average length of the phase locking state and $\epsilon$ is the coupling strength. To justify our claim we obtain analytically the tangent point, the bifurcation point, and the return map which agree well with those of the numerical simulations.Comment: 11 pages, 4 figure

Topics: Nonlinear Sciences - Chaotic Dynamics
Publisher: 'Elsevier BV'
Year: 2004
DOI identifier: 10.1016/S0375-9601(03)00694-7
OAI identifier: oai:arXiv.org:nlin/0405032

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