On Cluster Synchronization for Linearly Coupled Complex Networks
Yi Zhao, Jianwen Feng, Jingyi Wang · 2011
In this paper, without assuming symmetry, we proved linearly coupled complex networks could achieve cluster synchronization under pinning control. Sufficient conditions guaranteeing cluster synchronization for any initial values are derived by using feedback schemes. Moreover, we propose an adaptive feedback algorithms to adjust the coupling strength. Several numerical examples are given to illustrate our theoretical results.