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On pinning synchronization of general coupled networks

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Abstract

The synchronization in general coupled networks subjected to pinning control is investigated. Some generic stability criteria based on the Lyapunov approach are derived for such general controlled networks, which guarantee that the whole network can be pinned to a synchronization state by placing feedback control on only a small fraction of nodes. A real network of television audience flows across 28 satellite channels in China and a representative BA scale-free network composed of chaotic systems are shown, respectively, for illustration and verification. It is found that pinning stability can be improved via increasing pinning density and/or pinning strength for complete diagonal inner coupling.

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Authors and Affiliations

  1. Department of Media and Communication, City University of Hong Kong, Hong Kong, Hong Kong

    Linying Xiang & Jonathan J. H. Zhu

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  1. Linying Xiang
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  2. Jonathan J. H. Zhu
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Correspondence to Linying Xiang.

Additional information

This work was partially supported by Strategic Research Grant 7002396 and Research Scholarship Enhancement Grant from City University of Hong Kong.

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Xiang, L., Zhu, J.J.H. On pinning synchronization of general coupled networks. Nonlinear Dyn 64, 339–348 (2011). https://doi.org/10.1007/s11071-010-9865-5

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  • DOI: https://doi.org/10.1007/s11071-010-9865-5

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