Mechanisms Behind the Generalized Synchronization Conditions

Details Mechanisms Behind the Generalized Synchronization Conditions Mechanisms Behind the Generalized Synchronization Conditions

2006-02-25

arxiv.org/abs/nlin/0602054v1

Technical Physics, 2006, Vol. 51, No. 2, pp. 143-150

Nonlinear Sciences

Chaotic Dynamics

8 pages, 5 figures

Scientific paper

10.1134/S1063784206020010

A universal mechanism underlying generalized synchronization conditions in unidirectionally coupled stochastic oscillators is considered. The consideration is carried out in the framework of a modified system with additional dissipation. The approach developed is illustrated with model examples. The conclusion is reached that two types of the behavior of nonlinear dynamic systems known as generalized synchronization and noise-induced synchronization, which are viewed as different phenomena, actually represent a unique type of the synchronous behavior of stochastic oscillators and are caused by the same mechanism.

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