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具有变时滞耦合部分非恒定节点复杂网络的同步(英文)
引用本文:姚洪兴,谢勇,王树国. 具有变时滞耦合部分非恒定节点复杂网络的同步(英文)[J]. 应用数学, 2012, 25(2): 460-466
作者姓名:姚洪兴  谢勇  王树国
作者单位:1. 江苏大学理学院,江苏镇江,212013
2. 江苏大学理学院,江苏镇江212013;河海大学数理教学部,江苏常州213022
基金项目:Supported by the National Natural Science Foundation of China(70871056);the Six Talents Peak Foundation of Jiangsu Province
摘    要:主要研究了带有时变耦合部分且非恒定节点含有变时滞复杂网络的同步问题.利用Lyapunov函数理论,设计有效的控制函数并获得一些简单的同步准则,使得属于不同簇的复杂网络能同步到任意光滑的状态.最后给以一数值仿真的例子验证了该理论的有效性.

关 键 词:同步  复杂网络  变时滞耦合  非恒定节点

Synchronization in the Time-varying Delays Coupled Complex Community Networks with Nonidentical Nodes
YAO Hongxing , XIE Yong , WANG Shuguo. Synchronization in the Time-varying Delays Coupled Complex Community Networks with Nonidentical Nodes[J]. Mathematica Applicata, 2012, 25(2): 460-466
Authors:YAO Hongxing    XIE Yong    WANG Shuguo
Affiliation:1,2(1.Faculty of Science,Jiangsu University,Zhenjiang 212013,China;2.Department of Mathematics and Physics,Hohai University,Changzhou 213022,China)
Abstract:In this letter,the complex dynamical networks with both time-varying delays in network couplings and time-varying delays in dynamical nonidentical nodes have been considered.The globally asymptotical synchronization of the time-delay complex community networks with delayed coupling onto any uniformly smooth state is studied.Some simple and useful criteria are derived by constructing an effective control scheme.The numerical simulations are performed to verify the effectiveness of the theoretical results.
Keywords:Synchronization  Complex networks  Time-varying delays coupled  Nonidentical nodes
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