Cluster synchronization for linearly coupled complex networks
Xiwei Liu, Tianping Chen, Wenlian Lu · Journal of Industrial and Management Optimization · 2011
In this paper, the cluster synchronization for an array of linearlycoupled identical chaotic systems is investigated. New couplingschemes (or coupling matrices) are proposed, by which global clustersynchronization of linearly coupled chaotic systems can be realized.Here, the number and the size of clusters (or groups) can bearbitrary. Some sufficient criteria to ensure global clustersynchronization are derived. Moreover, for any given couplingmatrix, new coupled complex networks with adaptive couplingstrengths are proposed, which can synchronize coupled chaoticsystems by clusters. Numerical simulations are finally given to showthe validity of the theoretical results.