The synchronization of general complex dynamical network via pinning control |
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| Authors: | Jianwen Feng Shaohui Sun Chen Xu Yi Zhao Jingyi Wang |
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| Affiliation: | (1) College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China;(2) College of Information Science and Technology, Donghua University, Shanghai, China |
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| Abstract: | In this paper, the globally synchronization of the general complex network is investigated. Firstly, we discuss the synchronization problem of the linearly coupled and directed network under the pinning control, and make comparison with the previous work about the undirected network. Sufficient conditions are obtained to guarantee the realization of synchronization. Secondly, the synchronization problem of nonlinearly coupled and undirected network under the pinning control is studied, and a criteria of getting synchronization is given. Furthermore, we introduced the adaptive adjustment of the coupling strength in nonlinearly coupled network. At last, we give simulation examples to verify our theoretical results. |
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