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Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix
Authors:Jingyi Wang  Jianwen Feng  Chen Xu  Yi Zhao
Institution:1.College of Mathematics and Computational Science,Shenzhen University,Shenzhen,P.R. China
Abstract:In this paper, we investigate the cluster synchronization problem for networks with nonlinearly coupled nonidentical dynamical systems and asymmetrical coupling matrix by using pinning control. We derive sufficient conditions for cluster synchronization for any initial values through a feedback scheme and propose an adaptive feedback algorithm that adjusts the coupling strength. Some numerical examples are then given to illustrate the theoretical results.
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