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Cluster synchronisation of directed complex dynamical networks with nonidentical nodes via pinning control

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  • Guan Wang
  • Yi Shen

Abstract

In this article, we study the cluster synchronisation problem of directed complex dynamical networks through controlling some specific nodes. This method explains which nodes should be chosen as pinned candidates. Owing to the special structure of cluster network, the number of such nodes is extremely small. In our model, we consider a directed network whose nodes in different clusters are nonidentical. Then some sufficient conditions to guarantee cluster synchronisation in the coupled network are presented. Finally, numerical examples are given to verify our theoretical analysis.

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  • Guan Wang & Yi Shen, 2013. "Cluster synchronisation of directed complex dynamical networks with nonidentical nodes via pinning control," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1577-1586.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1577-1586
    DOI: 10.1080/00207721.2012.659699
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    Cited by:

    1. Gao, Zilin & Guo, Changyuan & Li, Yongfu & Liu, Lizhi & Luo, Weimin, 2023. "Stabilization of a structurally balanced complex network with similar nodes of different dimensions," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Chunnan Lin & Quanjun Wu & Lan Xiang & Jin Zhou, 2015. "Pinning impulsive directed coupled delayed dynamical network and its applications," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 193-208, January.

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