Transient processes during synchronization of coupled bistable oscillators with chaotic dynamics

È. V. Kaliyanov

Kotelnikov Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences

Abstract: Transient processes in a chain of nonidentical Chua oscillators resistively coupled via nonlinear elements admitting cubic approximation have been numerically simulated in cases of mutual and unidirectional coupling. It is demonstrated that the transient processes during both mutual and induced (unidirectional) chaotic synchronization are enhanced with increasing detuning between the oscillatory circuits of partial subsystems and suppressed with increasing coefficient of coupling. The time of establishment of a synchronous operation regime in the case of mutual coupling is, under otherwise identical conditions, shorter than in the case of unidirectional coupling. The dependence of the duration of establishment of a synchronous operation regime on the moment of coupling switch-on is considered.

Received: 10.05.2011

 English version: Technical Physics Letters, 2011, 37:10, 960–964

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