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Multi-stable chaotic attractors in generalized synchronization

✍ Scribed by Aihua Hu; Zhenyuan Xu

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 833 KB
Volume: 16
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2010.12.015

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✦ Synopsis

a b s t r a c t

In this work, for given driving and response systems, the phenomenon of multi-stable chaotic attractors existing in generalized synchronization is studied. Consider the driving system descried by a Rössler system, and the response system being a multi-scroll chaotic system, some numerical simulations are proposed. The results show that by choosing suitable coupled parameters, there are multi-stable chaotic attractors in the response system, and each of them synchronizes with the driving system. Moreover, the basins of attraction on the parameter plane and initial condition plane are analyzed.

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