Synchronization stability analysis of the chaotic Rössler system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)2153-2161
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume6
Issue number11
Publication statusPublished - Nov 1996
Externally publishedYes

Abstract

In this paper we show, both analytically and experimentally, that the Rössler system synchronization is either asymptotically stable or orbitally stable within a wide range of the system key parameters. In the meantime, we provide some simple sufficient conditions for synchronization stabilities of the Rössler system in a general situation. Our computer simulation shows that the type of stability of the synchronization is very sensitive to the initial values of the two (drive and response) Rössler systems, especially for higher-periodic synchronizing trajectories, which is believed to be a fundamental characteristic of chaotic synchronization that preserves the extreme sensitivity to initial conditions of chaotic systems.