Transitions To the Long-Resident State in coupled chaotic oscillators

Details Transitions To the Long-Resident State in coupled chaotic oscillators Transitions To the Long-Resident State in coupled chaotic oscillators

2005-12-15

arxiv.org/abs/nlin/0512037v1

Nonlinear Sciences

Chaotic Dynamics

3 pages, 5 figures

Scientific paper

10.1088/0256-307X/23/1/011

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits of the two oscillators get close becomes faster with increasing the coupling strength; (3) The diffusion of two oscillator's phase difference is first enhanced and then suppressed. There are exact correspondences among these phenomena. The mechanism of these correspondences is explored. These phenomena uncover the route to synchronization of coupled chaotic oscillators.

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