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Cluster synchronization in a network of non-identical dynamic systems

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【Author】 Wu Jian-She a) , Jiao Li-Cheng a) , and Chen Guan-Rong b)§ a)Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China, Xidian University, Xi’an 710071, China b)Department of Electronic Engineering, City University of Hong Kong, Hong Kong, SAR, China

【机构】 Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China, Xidian University； Department of Electronic Engineering, City University of Hong Kong；

【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.更多还原

【Abstract】 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.更多还原

【关键词】 complex network； cluster synchronization； diffusive couplings； Schur’s theorem；
【Key words】 complex network； cluster synchronization； diffusive couplings； Schur’s theorem；

【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)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2011年06期

【分类号】O19;O231
【被引频次】4
【下载频次】68

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