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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2008 Volume 4, Number 2, Pages 169–180 (Mi nd230)

This article is cited in 1 paper

The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations

A. S. Zakharova, T. E. Vadivasova, V. S. Anishchenko

Saratov State University

Abstract: We investigate effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations and its connection with synchronization threshold. It is showed that effective phase diffusion coefficient in contrast to maximal Lyapunov exponent allows to distinguish the regions of spiral and funnel attractor. We ascertain that synchronization threshold of chaos is in order-of-magnitude agreement with the value of diffusion coefficient divided by the mean frequency of self-sustained oscillations.

Keywords: chaotic self-sustained oscillations, synchronization threshold, effective diffusion coefficient of instantaneous phase.

UDC: 537.86

MSC: 39Axx, 93D05

Received: 14.02.2008



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