Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 262349, 23 pages
http://dx.doi.org/10.1155/2011/262349
Research Article

Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

Jianwen Feng,1 Jingyi Wang,1 Chen Xu,1 and Francis Austin2

1College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China
2Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong

Received 18 June 2011; Revised 30 August 2011; Accepted 13 September 2011

Academic Editor: Recai Kilic

Copyright © 2011 Jianwen Feng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider a method for driving general complex networks into prescribed cluster synchronization patterns by using pinning control. The coupling between the vertices of the network is nonlinear, and sufficient conditions are derived analytically for the attainment of cluster synchronization. We also propose an effective way of adapting the coupling strengths of complex networks. In addition, the critical combination of the control strength, the number of pinned nodes and coupling strength in each cluster are given by detailed analysis cluster synchronization of a special topological structure complex network. Our theoretical results are illustrated by numerical simulations.