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Duration of the Process of Complete Synchronizationof Two Coupled Identical Chaotic Systems

A. A. Koronovskii, A. E. Hramov, I. A. Khromova

nlin.CDarXiv:nlin/0601073

Abstract

We consider the time required for complete synchronization of two identical one-way coupled vander Pol-Duffing oscillators occurring in the regime of dynamic chaos. The influence of the initial phase differ-ence between oscillators on the duration of the process of complete synchronization has been studied. At a fixedphase of chaotic oscillations of the self-excited drive oscillator, the period of time (past the coupling onset) during which the complete synchronization regime is established depends on the phase of the self-excited responseoscillator

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