Quasi-synchronization of nonlinear coupled chaotic systems via aperiodically intermittent pinning control

In this paper, the quasi-synchronization of nonlinear coupled networks in the presence of parameter mismatches with time delay via aperiodically intermittent pinning control is investigated. There are two main differences of this paper with previous works: one is that the intermittent pinning control is aperiodic while that in previous works is periodic; the other is that the model is generalized from master–slave coupled systems of only two nodes to general nonlinear coupled networks. By using the aperiodically intermittent pinning control technique, a simple controller to pin the coupled networks to achieve quasi-synchronization is designed. Some sufficient criteria are obtained to guarantee global quasi-synchronization. Moreover, an adaptive algorithm for the control strength is also proposed to realize the quasi-synchronization. Finally, numerical simulations are given to show the validity of our theoretical results.