A Criterion for Stability of Synchronization  and Application to Coupled Chua's Systems

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理论物理通讯 ›› 2009, Vol. 51 ›› Issue (03) : 475-478.

A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems

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A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems

WANG Hai-Xia,¹ LU Qi-Shao,² and WANG Qing-Yun³

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Abstract

We investigate synchronization in an array network of nearest-neighbor coupled
chaotic oscillators. By using of the Lyapunov stability theory and matrix theory, a criterion for stability of complete synchronization is deduced. Meanwhile, an estimate of the critical coupling strength is obtained to ensure achieving chaos synchronization. As an example application, a model of coupled Chua's circuits with linearly bidirectional coupling is studied to verify the validity of the criterion.

导出引用

WANG Hai-Xia, LU Qi-Shao, and WANG Qing-Yun. A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems[J]. 理论物理通讯, 2009, 51(03): 475-478

WANG Hai-Xia, LU Qi-Shao, and WANG Qing-Yun. A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems[J]. Communications in Theoretical Physics, 2009, 51(03): 475-478

中图分类号： 05.45.Xt