Cluster Synchronization for Linearly Coupled Chaotic Systems and Neural Networks

摘要

In this paper, the cluster synchronization for an array of linearly coupled identical chaotic systems arid neural networks is investigated. New coupling schemes (or coupling matrices) are proposed, by which global cluster synchronization of linearly coupled chaotic systems and neural networks can be realized. Here, the number and the size of clusters (or groups)can be arbitrary. Some sufficient criteria to ensure global cluster synclironization are derived. Moreover, for any given coupling matrix, new coupled chaotic systems and neural networks with adaptive coupling strengths are proposed, which can synchronize coupled chaotic systems and neural networks by clusters. Simulations are given to verify' the validity of the theory.