Cluster synchronization in a network of non-identical dynamic systems |
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| Authors: | Wu Jian-She Jiao Li-Cheng and Chen Guan-Rong |
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| Institution: | Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China, Xidian University, Xi'an 710071, China; Department of Electronic Engineering, City University of Hong Kong, Hong Kong, SAR, China |
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| 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. |
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| Keywords: | complex network cluster synchronization diffusive couplings Schur's theorem |
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