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两个时变复杂网络的自适应同步
引用本文:柳亭,褚衍东,李红敏.两个时变复杂网络的自适应同步[J].四川建材学院学报,2011(1):47-52.
作者姓名:柳亭  褚衍东  李红敏
作者单位:兰州交通大学数理与软件工程学院,甘肃兰州730070
基金项目:兰州交通大学基金资助项目(DXS2010-019)
摘    要:研究了两个时变复杂网络的自适应同步。根据Lyapunov稳定性理论,分析了两个时变复杂网络的同步条件,并且证明了它的有效性。为了验证理论结果,以不同参数下的Lorenz系统作为两个时变网络的节点动力学系统进行仿真分析,从仿真结果可以得到:如果不施加控制,这两个时变复杂网络不能实现同步;如果设计合适的自适应控制器,这两个时变复杂网络将达到同步。不管是对相同结构的复杂网络,还是对不同结构的复杂网络,仿真结果和理论分析均一致。

关 键 词:时变复杂网络  自适应同步  Lyapunov稳定性理论

Adaptive Synchronization between Two Time-varying Coupled Complex Networks
Authors:LIU Ting  CHU Yan-dong  LI Hong-min
Affiliation:(School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University, Lanzhou 730070,Gansu,China)
Abstract:This paper studied adaptive synchronization between two time-varying coupled complex networks.We analyzed synchronization condition of two time-varying coupled networks by Lyapunov stability theory,and proved its effectiveness.To verify theoretical results,we took Lorenz system with different parameters as the nodes dynamical system of the two networks.From the simulation results,we find if we do not add controller,the two networks can not achieve synchronization;but if we design appropriate adaptive controller,the two networks can achieve synchronization.The numerical simulations are in accordance with theoretical analysis,including complex networks with same and different structures.
Keywords:Time-varying complex network  Adaptive synchronization  Lyapunov stability theorem
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