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A NEW SYNCHRONIZATION PRINCIPLE AND APPLICATION TO CHUA'S CIRCUITS

YONGAI ZHENG

Department of Mathematics, Shanghai University, Shanghai, 200436, China

Department of Mathematics, Yangzhou University, Yangzhou, 225006, China

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ZENGRONG LIU

Department of Mathematics, Shanghai University, Shanghai, 200436, China

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, and

JIN ZHOU

Department of Mathematics, Shanghai University, Shanghai, 200436, China

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https://doi.org/10.1142/S021812740200470XCited by:8 (Source: Crossref)

Abstract

In the paper we propose a new synchronization principle. To guarantee synchronization between coupled chaotic oscillators, proper coupling constants are selected by the Liapunov stability theory and Hurwitz Theorem. As an example and application, we prove the conjecture [Wu & Chua, 1994] that synchronization between two chaotic Chua's circuits can be achieved by using the second state as feedback variable for sufficiently large coupling constant.

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