Cluster synchronization in community networks with nonidentical nodes

Cluster synchronization in community networks with nonidentical nodes
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DOI:
10.1063/1.3125714
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发表时间:
2009-06-01
期刊:
影响因子:
2.9
通讯作者:
Li, Kezan
Li, Kezan
中科院分区:
数学2区
文献类型:
--
作者:
Wang, Kaihua;Fu, Xinchu;Li, Kezan

文献摘要

被引文献

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本文考虑了具有社团结构和不同节点的动态网络,以及每个社团中所有节点具有相同的局部动态的动态网络。利用反馈控制方法研究了具有和不具有时延的网络的簇同步问题。解析地得到了实现簇同步的几个充分条件,并通过一些具有混沌和非混沌节点的例子进行了数值验证。通过对无延迟动态网络的详细分析,发现了同步动力学与局部动力学之间的本质联系。(C)2009年美国物理学会。[DOI:10.1063/1.3125714]
In this paper dynamical networks with community structure and nonidentical nodes and with identical local dynamics for all individual nodes in each community are considered. The cluster synchronization of these networks with or without time delay is studied by using some feedback control schemes. Several sufficient conditions for achieving cluster synchronization are obtained analytically and are further verified numerically by some examples with chaotic or nonchaotic nodes. In addition, an essential relation between synchronization dynamics and local dynamics is found by detailed analysis of dynamical networks without delay through the stage detection of cluster synchronization. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3125714]