Synchronization and anti-synchronization coexist in Chen–Lee chaotic systems

Juhn-Horng Chen, Hsien-Keng Chen and Yu-Kai Lin

Chaos, Solitons & Fractals, 2009, vol. 39, issue 2, 707-716

Abstract: This study demonstrates that synchronization and anti-synchronization can coexist in Chen–Lee chaotic systems by direct linear coupling. Based on Lyapunov’s direct method, a linear controller was designed to assure that two different types of synchronization can simultaneously be achieved. Further, the hybrid projective synchronization of Chen–Lee chaotic systems was studied using a nonlinear control scheme. The nonlinear controller was designed according to the Lyapunov stability theory to guarantee the hybrid projective synchronization, including synchronization, anti-synchronization, and projective synchronization. Finally, numerical examples are presented in order to illustrate the proposed synchronization approach.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:2:p:707-716

DOI: 10.1016/j.chaos.2007.01.104

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