Cluster synchronization in star-like complex networks

Cluster synchronization in star-like complex networks
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星型复杂网络中的集群同步

DOI:
10.1088/1751-8113/41/15/155101
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发表时间:
2008-04
期刊:
Journal of Physics A: Mathematical and Theoretical
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--
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中科院分区:
其他
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讨论了一个由N个节点组成的星型复杂网络的簇同步问题。利用矩阵理论和李雅普诺夫函数方法,得到了一个关于簇同步不变流形存在和渐近稳定的充分条件。两个例子说明了充分条件的有效性。另外,这两个例子还表明,在单个节点为混沌(或非混沌)的星形复杂网络中,簇同步不变流形中某些节点的动力学可以为非混沌(或混沌).
The cluster synchronization of a star-like complex network which consists of N nodes coupled with a common environment is discussed. By using the matrix theory and the Lyapunov function approach, a sufficient condition about the existence and asymptotic stability of a cluster synchronization invariant manifold is derived. The effectiveness of the sufficient condition is illustrated by two examples. In addition, the two examples also show that, in the star-like complex network in which the individual node is chaotic (or non-chaotic), the dynamics of some nodes in the cluster synchronization invariant manifold can be non-chaotic (or chaotic).
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