Journal
PHYSICS LETTERS A
Volume 375, Issue 14, Pages 1559-1565Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2011.02.052
Keywords
Cluster synchronization; Complex networks; Adaptive coupling strength; Adaptive strategy
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Funding
- National Natural Science Foundation of China [61004006, 60873133]
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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. (C) 2011 Elsevier B.V. All rights reserved.
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