| 基于复杂网络的混沌同步研究 |
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| 引用本文： | 赵永清,江明辉.基于复杂网络的混沌同步研究[J].三峡大学学报(自然科学版),2009,31(6):67-72. |
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| 作者姓名： | 赵永清 江明辉 |
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| 作者单位： | 三峡大学,理学院,湖北,宜昌,443002 |
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| 基金项目： | 国家自然科学基金，湖北省教育厅优秀中青年科技创新团队计划，湖北省教育厅自然科学基金 |
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| 摘 要： | 根据Lyapunov稳定性理论,分别给出了环状网络和全局耦合网络渐近同步和指数同步的充分条件.并对两种不同结构网络的同步性能进行了比较,发现全局耦合网络同步性能更好.最后以Lorenz混沌系统为节点,分别对4个节点的环状网络和全局耦合网络的混沌同步进行了数值仿真,验证了结论的可靠性.
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| 关 键 词： | 复杂网络 混沌同步 Lyapunov函数 |
Chaos Synchronization Research Based on Complex Networks |
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| Zhao Yongqing,Jiang Minghui.Chaos Synchronization Research Based on Complex Networks[J].Journal of China Three Gorges University(Natural Sciences),2009,31(6):67-72. |
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| Authors: | Zhao Yongqing Jiang Minghui |
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| Affiliation: | Zhao Yongqing Jiang Minghui (College of Science, China Three Gorges Univ. , Yichang 443002, China) |
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| Abstract: | Based on Lyapunov stability theorem,the sufficient conditions of asymptotical synchronization and exponential synchronization for networks with ring topology and global coupling topology are given.The synchronizabilities of ring connection and global connection are compared;and the conclusion is that the global connected networks have stronger synchronizability.Finally,the result of numerical calculation for the ring connected and global connected networks with 4 Lorenz nodes shows that the theorem is reliable. |
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| Keywords: | complex network chaos synchronization Lyapunov function |
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