| A Criterion for Stability of Synchronization and Application to Coupled Chua＇s Systems |
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| 基金项目： | The project supported by National Natural Science Foundation under Grant Nos. 10872014 and 10702023 |
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| 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.
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| 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 |
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| 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 |
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| Authors: | WANG Hai-Xia LU Qi-Shao WANG Qing-Yun |
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| 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 |
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| 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. |
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| Keywords: | synchronization Lyapunov function approach Lipschitz condition |
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