Transient processes under stochastic synchronization of oscillators in colored-noise medium


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Equations that describe mutual and induced chaotic synchronization of n (n = 2, 3, 4,...) autooscillation systems in colored-noise medium are derived. It is demonstrated that external colored noise acting upon a system of coupled oscillators and a chain of unidirectionally coupled oscillators causes a decrease in the duration of transient processes that lead to the chaotic synchronization (both mutual and induced) of nonidentical oscillators and a decrease in the time needed for stabilization of the symmetric state of the system when the parameters of oscillators are identical.

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E. Kal’yanov

Kotel’nikov Institute of Radio Engineering and Electronics (Fryazino Branch)

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Email: ervask@mail.ru
俄罗斯联邦, pl. Vvedenskogo 1, Fryazino, Moscow oblast, 141190

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