Cluster synchronization in a network of non-identical dynamic systems

doi:10.1088/1674-1056/20/6/060503

中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60503-060503.doi: 10.1088/1674-1056/20/6/060503

Cluster synchronization in a network of non-identical dynamic systems

陈关荣¹, 吴建设², 焦李成²

(1)Department of Electronic Engineering, City University of Hong Kong, Hong Kong, SAR, China; (2)Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China, Xidian University, Xián 710071, China

收稿日期:2010-11-03 修回日期:2011-01-25 出版日期:2011-06-15 发布日期:2011-06-15
基金资助:
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), and the Fundamental Research Funds for the Central Universities of China (Grant Nos. Y10000902036, JY10000902039, JY10000970001, and JY10000902001).

Cluster synchronization in a network of non-identical dynamic systems

Wu Jian-She(吴建设)^a)†, Jiao Li-Cheng(焦李成)^a)‡, and Chen Guan-Rong(陈关荣)^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

Received:2010-11-03 Revised:2011-01-25 Online:2011-06-15 Published:2011-06-15
Supported by:
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), and the Fundamental Research Funds for the Central Universities of China (Grant Nos. Y10000902036, JY10000902039, JY10000970001, and JY10000902001).

摘要/Abstract

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.

关键词: complex network, cluster synchronization, diffusive couplings, Schur's theorem

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.

Key words: complex network, cluster synchronization, diffusive couplings, Schur's theorem

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Xt (Synchronization; coupled oscillators)

吴建设, 焦李成, 陈关荣. Cluster synchronization in a network of non-identical dynamic systems[J]. 中国物理B, 2011, 20(6): 60503-060503.

Wu Jian-She(吴建设), Jiao Li-Cheng(焦李成), and Chen Guan-Rong(陈关荣). Cluster synchronization in a network of non-identical dynamic systems[J]. Chin. Phys. B, 2011, 20(6): 60503-060503.

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Cluster synchronization in a network of non-identical dynamic systems

Cluster synchronization in a network of non-identical dynamic systems

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