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 |
| |
Authors: | WANG Hai-Xia LU Qi-Shao WANG Qing-Yun |
| |
Institution: | 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 |
本文献已被 维普 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |