| 复Ginzburg-Landau方程时空混沌的网络同步与参量辨识 |
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| 引用本文： | 吕翎,李钢,徐文,吕娜,范鑫.复Ginzburg-Landau方程时空混沌的网络同步与参量辨识[J].物理学报,2012,61(6):60507-060507. |
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| 作者姓名： | 吕翎 李钢 徐文 吕娜 范鑫 |
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| 作者单位： | 辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029 |
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| 基金项目： | 辽宁省自然科学基金(批准号:20082147)和辽宁省教育厅创新团队计划(批准号:2008T108)资助的课题. |
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| 摘 要： | 研究了参量未知的时空混沌系统构成复杂网络的同步与参量辨识问题. 设计的参量辨识律可以有效地辨识复杂网络中所有节点时空混沌系统中的未知参量. 基于稳定性定理, 通过构造适当的Lyapunov函数, 确定了网络完全同步的条件. 以参量未知的一维复Ginzburg-Landau方程作为网络节点为例, 通过仿真模拟检验了参量辨识律以及同步方法的有效性.
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| 关 键 词： | 同步 参量辨识 复杂网络 时空混沌 |
| 收稿时间： | 2011-07-12 |
| 修稿时间： | 8/2/2011 12:00:00 AM |
Network synchronization of spatiotemporal chaos and parameter identification in complex Ginzburg-Landau equation |
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| L&; Ling,Li Gang,Xu Wen,L&; Na and Fan Xin.Network synchronization of spatiotemporal chaos and parameter identification in complex Ginzburg-Landau equation[J].Acta Physica Sinica,2012,61(6):60507-060507. |
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| Authors: | L&; Ling Li Gang Xu Wen L&; Na and Fan Xin |
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| Institution: | College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China |
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| Abstract: | The synchronization and the parameter identification of a complex network are studied, in which nodes are uncertain spatiotemporal chaos systems. The recognition laws of parameters are designed, and the unknown parameters in spatiotemporal chaos systems at the nodes of the complex network are identified. An appropriate Lyapunov function is constructed, and the conditions of realizing global synchronization of the network are discussed and confirmed based on the stability theory. The uncertain complex Ginzburg-Landau equation having spatiotemporal chaos behavior is taken as nodes in the complex network, and simulation results of spatiotemporal chaos synchronization and parameter identification show the effectiveness of the method. |
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| Keywords: | synchronization parameter identification complex network spatiotemporal chaos |
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