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Pinning control of clustered complex networks with different size

Author

Listed:
  • Fu, Chenbo
  • Wang, Jinbao
  • Xiang, Yun
  • Wu, Zhefu
  • Yu, Li
  • Xuan, Qi

Abstract

In pinning control of complex networks, it is found that, with the same pinning effort, the network can be better controlled by pinning the large-degree nodes. But in the clustered complex networks, this preferential pinning (PP) strategy is losing its effectiveness. In this paper, we demonstrate that in the clustered complex networks, especially when the clusters have different size, the random pinning (RP) strategy performs much better than the PP strategy. Then, we propose a new pinning strategy based on cluster degree. It is revealed that the new cluster pinning strategy behaves better than RP strategy when there are only a smaller number of pinning nodes. The mechanism is studied by using eigenvalue and eigenvector analysis, and the simulations of coupled chaotic oscillators are given to verify the theoretical results. These findings could be beneficial for the design of control schemes in some practical systems.

Suggested Citation

  • Fu, Chenbo & Wang, Jinbao & Xiang, Yun & Wu, Zhefu & Yu, Li & Xuan, Qi, 2017. "Pinning control of clustered complex networks with different size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 184-192.
    • Handle: RePEc:eee:phsmap:v:479:y:2017:i:c:p:184-192
    DOI: 10.1016/j.physa.2017.02.041
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    References listed on IDEAS

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    1. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2014. "Cluster synchronization in directed networks of non-identical systems with noises via random pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 537-548.
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    Cited by:

    1. Jalili, Mahdi, 2018. "Effective augmentation of networked systems and enhancing pinning controllability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 155-161.

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