摘要
Cluster synchronization in a network of non-identical dynamic systems is studied in this paper, using two-cluster synchronization for detailed analysis and discussion. The results show that the common intercluster coupling condition is not always needed for the diffusively coupled network. Several sufficient conditions are obtained by using the Schur unitary triangularization theorem, which extends previous results. Some numerical examples are presented for illustration.
Cluster synchronization in a network of non-identical dynamic systems is studied in this paper, using two-cluster synchronization for detailed analysis and discussion. The results show that the common intercluster coupling condition is not always needed for the diffusively coupled network. Several sufficient conditions are obtained by using the Schur unitary triangularization theorem, which extends previous results. Some numerical examples are presented for illustration.
基金
Project supported by the "13115" Program, China (Grant No. 2008ZDKG-37)
the National Natural Science Foundation of China (Grant Nos. 61072139, 61072106, 60804021, and 61001202)
the Fundamental Research Funds for the Central Universities of China (Grant Nos. Y10000902036, JY10000902039, JY10000970001, and JY10000902001)
