Synchronization of Time-Continuous Chaotic Oscillators

S. Yanchuk, Yuri Maistrenko, Erik Mosekilde

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Abstract

Considering a system of two coupled identical chaotic oscillators, the paper first establishes the conditions of transverse stability for the fully synchronized chaotic state. Periodic orbit threshold theory is applied to determine the bifurcations through which low-periodic orbits embedded in the fully synchronized state lose their transverse stability, and the appearance of globally and locally riddled basins of attraction is discussed, respectively, in terms of the subcritical, supercritical nature of the riddling bifurcations. We show how the introduction of a small parameter mismatch between the interacting chaotic oscillators causes a shift of the synchronization manifold. The presence of a coupling asymmetry is found to lead to further modifications of the destabilization process. Finally, the paper considers the problem of partial synchronization in a system of four coupled Rossler oscillators. ©2003 American Institute of Physics.
Original languageEnglish
JournalChaos
Volume13
Issue number1
Pages (from-to)388-400
ISSN1054-1500
DOIs
Publication statusPublished - 2003

Bibliographical note

Copyright (2003) 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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