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A novel criterion for cluster synchronization of complex dynamical networks with coupling time-varying delays |
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| Authors: | Shuguo Wang Hongxing YaoSong Zheng Yong Xie |
| Affiliation: | a School of Finance & Economics, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China b Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou, Jiangsu 213022, PR China c School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, PR China |
| Abstract: | This paper investigates the cluster synchronization problem for the time-varying delays coupling networks with nonidentical delayed dynamical systems by using pinning control method. We derive some simple and useful criteria for cluster synchronization for any initial values through an effective feedback control scheme and propose an adaptive feedback strategy that adjusts automatically the coupling strength. Finally, some numerical examples are then given to illustrate the theoretical results. |
| Keywords: | Cluster synchronization Nonidentical nodes Time-varying delays Adaptive coupling strength |
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