Role of multistability in the transition to chaotic phase synchronization

D.E. Postnov, T.E. Vadivasova, Olga Sosnovtseva, A.G. Balanov, V.S. Anishchenko, Erik Mosekilde

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Abstract

In this paper we describe the transition to phase synchronization for systems of coupled nonlinear oscillators that individually follow the Feigenbaum route to chaos. A nested structure of phase synchronized regions of different attractor families is observed. With this structure, the transition to nonsynchronous behavior is determined by the loss of stability for the most stable synchronous mode. It is shown that the appearance of hyperchaos and the transition from lag synchronization to phase synchronization are related to the merging of chaotic attractors from different families. Numerical examples using Rössler systems and model maps are given. ©1999 American Institute of Physics.
Original languageEnglish
JournalChaos
Volume9
Issue number1
Pages (from-to)227-232
ISSN1054-1500
DOIs
Publication statusPublished - 1999

Bibliographical note

Copyright (1999) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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