Chaos Synchronization of a Family of Complex Dynamical Networks

Liangming He ； Duanwen Shi

《Chinese Journal of Physics》 46卷3期 (2008/06) Pp. 242-254

並列摘要

The formation of chaos synchronization clusters in a family of complex networks, which structurally originates from a regular network, is investigated. We find that: (1) for a sparse network, in the case of small coupling strength, synchronization clusters emerge in the network whose disorder probability p is large, but do not emerge in the network whose disorder probability p is small. While in the case of a large coupling strength, under which the regular networks do not exhibit synchronization, all dynamical nodes, which behave as in the random networks, mutually synchronize in the network, which possesses a very small disorder probability p and has both a high degree of clustering and a small average distance. (2) For a network whose connectivity parameter k is large enough, i.e., not sparse, synchronization can be displayed in the network, which has a small disorder probability p even if the coupling strengths in it are small. We discuss these phenomena.