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Clustering component synchronization in a class of unconnected networks via pinning control

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  • Li, Fengbing
  • Ma, Zhongjun
  • Duan, Qichang

Abstract

Firstly, the definition of clustering component synchronization is given (that is, all nodes in each cluster realize partial component synchronization). Then, both stability theory and matrix analysis are used to study the group dynamics of a class of unconnected networks via pinning control. Furthermore, a sufficient condition on clustering component synchronization in the network is derived, and the correctness of the theoretical results is verified by numerical simulation. The advantage of the control scheme is that, by adjusting the dynamics of a very small number of pinning nodes, some clusters can be merged in the network, and then the presetting synchronous patterns can emerge. Compared with cluster synchronization and partial component synchronization, clustering component synchronization is a weaker group dynamics behavior.

Suggested Citation

  • Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Clustering component synchronization in a class of unconnected networks via pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 394-401.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:394-401
    DOI: 10.1016/j.physa.2019.03.080
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    References listed on IDEAS

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    1. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
    2. Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Partial component synchronization on chaotic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 707-714.
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    Cited by:

    1. Jie Liu & Jian-Ping Sun, 2024. "Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    2. Shen, Yafei & Shi, Jinyao & Cai, Shuiming, 2020. "Pinning synchronization of weighted bipartite networks with time-varying delays via aperiodic intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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