Cluster synchronization in the adaptive complex dynamical networks via a novel approach |
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Authors: | Xiangjun Wu Hongtao Lu |
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Institution: | a Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China b Department of Computing Center, Institute of Complex Intelligent Network System, Henan University, Kaifeng 475004, China |
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Abstract: | This Letter investigates cluster synchronization in the adaptive complex dynamical networks with nonidentical nodes by a local control method and a novel adaptive strategy for the coupling strengths of the networks. In this approach, the coupling strength of each node adjusts adaptively only based on the state information of its neighborhood. By means of the proposed scheme, the sufficient conditions for achieving cluster synchronization are derived analytically by utilizing Lyapunov stability theory. It is demonstrated that the synchronization performance is sensitively affected by the control gain, the inner-coupling matrix and the network topological structure. The numerical simulations are performed to verify the effectiveness of the theoretical results. |
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Keywords: | Cluster synchronization Complex networks Adaptive coupling strength Adaptive strategy |
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