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A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems
基金项目:The project supported by National Natural Science Foundation under Grant Nos. 10872014 and 10702023
摘    要: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.

关 键 词:Lyapunov稳定性理论  耦合强度  完全同步  标准  应用  系统  混沌振荡器  矩阵理论
收稿时间:2008-05-22

A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems
WANG Hai-Xia LU Qi-Shao WANG Qing-Yun. A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems[J]. Communications in Theoretical Physics, 2009, 51(3): 475-478
Authors:WANG Hai-Xia LU Qi-Shao WANG Qing-Yun
Affiliation:1.School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;2.School of Science, Beihang University, Beijing 100191, China;3.School of Statistics and Mathematics, Inner Mongolia College, Huhhot 010051, China
Abstract:We investigate synchronization in an array network of nearest-neighbor coupledchaotic 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.
Keywords:synchronization   Lyapunov function approach   Lipschitz condition
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