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Generalized synchronization in complex dynamical networks via adaptive couplings

Liu, H., Chen, J., Lu, J. & Cao, M., 15-Apr-2010, In : Physica A: Statistical Mechanics and its Applications. 389, 8, p. 1759-1770 12 p.

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This paper investigates generalized synchronization of three typical classes of complex dynamical networks: scale-free networks, small-world networks. and interpolating networks. The proposed synchronization strategy is to adjust adaptively a node's coupling strength based oil the node's local generalized synchronization information. By taking the auxiliary-system approach and using the Lyapunov function method, we prove that for any given initial Coupling strengths. the generalized synchronization can take place in complex networks consisting of nonidentical dynamical systems. It is demonstrated that the coupling strengths are affected by topologies of the networks Furthermore, it is found that there are hierarchical features in the processes of generalized synchronization in scale-free networks because of their highly heterogeneous distributions of connection degree. Finally. We discuss in detail how a network's degree of heterogeneity affects its generalization synchronization behavior. (C) 2010 Elsevier B V All rights reserved.

Original languageEnglish
Pages (from-to)1759-1770
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume389
Issue number8
Publication statusPublished - 15-Apr-2010

    Keywords

  • Complex dynamical network, Generalized synchronization, Adaptive coupling strength, Heterogeneity, CHAOTIC SYSTEMS, MODEL

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