Impulsive Cluster Synchronization in Community Network with Nonidentical Nodes

Impulsive Cluster Synchronization in Community

Network with Nonidentical Nodes

邓丽萍;吴召艳

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2012(058)010

【摘要】In this paper,cluster synchronization in community network with nonidentical nodes and impulsive effects is investigated.Community networks

with

two

kinds

of

topological

structure

are

investigated.Positive weighted network is considered first and external pinning

controllers

are

designed

for

achieving

cluster

synchronization.Cooperative and competitive network under some assumptions is investigated as well and can achieve cluster synchronization with only impulsive controllers.Based on the stability analysis of impulsive differential equation and the Lyapunov stability theory,several

simple

and

useful

synchronization

criteria

are

derived.Finally,numerical simulations are provided to verify the effectiveness of the derived results. 【总页数】6页(525-530)

【关键词】加权网络;同步脉冲;Lyapunov稳定性理论;社区;节点;不等;脉冲控制器;集群

【作者】邓丽萍;吴召艳

【作者单位】Department of Mathematics, Jiangxi Normal University,