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复Ginzburg-Landau方程时空混沌的网络同步与参量辨识
Network synchronization of spatiotemporal chaos and parameter identification in complex Ginzburg-Landau equation
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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.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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