混沌网络的聚类同步方法

THE METHODS OF CLUSTER SYNCHRONIZATION IN CHAOTIC NETWORKS

由于通讯技术和生物工程等科学的发展,许多的聚类同步现象陆续被发现和研究．然而,由于网络的复杂性,有关聚类同步的理论结果极少见报道．从上述问题出发,对于大小为N=mn的网络,通过构造带权重的相互作用,得到了n个聚类的聚类同步,其中每个聚类的振子数目都等于m．最后,以耦合Lorenz系统为例,验证了以上结果的正确性．

With the development of biological sciences and communication engineering, a lot of phenomena about cluster synchronization axe discovered and investigated. However, because of the complexity of network, the theoretical results about cluster synchronization are very limited. In this paper, for the case that the number of every cluster is equal to m, a coupled weight network is constructed, and a sufficient condition about the synchronization with n clusters is obtained. The effectiveness of the methods is illustrated by an example.