Partial Synchronization in a System of Coupled Logistic Maps

A. V. Taborov, Y. L. Maistrenko, Erik Mosekilde

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Clustering (or partial synchronization) in a system of globally coupled chaotic oscillators is studied by means of a model of three coupled logistic maps. For this model we determine the regions in parameter space where total and partial synchronization take place, examine the bifurcations through which total synchronization tone-cluster dynamics) breaks down to give way to two- and three-cluster dynamics, and follow the subsequent transformations of the various asynchronous periodic, quasiperiodic and chaotic states. Different forms of riddling of the basins of attraction for the fully synchronized state are observed, and we discuss the mechanisms through which they arise.
Original languageEnglish
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume10
Issue number5
Pages (from-to)1051-1066
ISSN0218-1274
DOIs
Publication statusPublished - 2000

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