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LettersNo Access

PROJECTIVE SYNCHRONIZATION OF UNIDENTICAL CHAOTIC SYSTEMS BASED ON STABILITY CRITERION

Department of Engineering Mechanics of Shanghai Jiao Tong University, 200240 Shanghai, P. R. China

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Department of Engineering Mechanics of Shanghai Jiao Tong University, 200240 Shanghai, P. R. China

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Department of Engineering Mechanics of Shanghai Jiao Tong University, 200240 Shanghai, P. R. China

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https://doi.org/10.1142/S0218127406015301Cited by:7 (Source: Crossref)

Abstract

A new method of projective synchronization of unidentical chaotic systems is proposed in this letter. This method is based on the stability criterion of linear systems. The response of two unidentical chaotic systems can synchronize up to any desired scaling factor by a suitable separation of the systems. The new method of projective synchronization is suitable not only for the three-dimensional coupled partially linear systems, but also for higher dimensional even hyperchaotic systems. The simplicity and effectiveness of the proposed method are illustrated by the Lorenz system, the four-dimensional partially linear system, the four-dimensional hyperchaotic Rösser system and Chua's circuit system as four numerical examples.

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Vol. 16, No. 04

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History

Received 8 July 2004

Revised 12 April 2005

Keywords