Impulsive Cluster Synchronization in Community Network with Nonidentical Nodes |
| |
Authors: | DENG Li-Ping WU Zhao-Yan |
| |
Institution: | Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China |
| |
Abstract: | 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. |
| |
Keywords: | cluster synchronization community network impulsive control |
|
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|