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Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

Author

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  • Jie Liu

    (College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
    Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China)

  • Jian-Ping Sun

    (College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
    Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China)

Abstract

In this paper, the problem of clustering component synchronization of nonlinearly coupled complex networks with nonidentical nodes and asymmetric couplings is investigated. A pinning control strategy is designed to achieve the clustering component synchronization with respect to the specified components. Based on matrix analysis and stability theory, clustering component synchronization criteria are established. Two numerical simulations are also provided to show the effectiveness of the theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1022-:d:1366193
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    References listed on IDEAS

    as
    1. Jianwen Feng & Jingyi Wang & Chen Xu & Francis Austin, 2011. "Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-23, November.
    2. Abdurahman, Abdujelil & Abudusaimaiti, Mairemunisa & Jiang, Haijun, 2023. "Fixed/predefined-time lag synchronization of complex-valued BAM neural networks with stochastic perturbations," Applied Mathematics and Computation, Elsevier, vol. 444(C).
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    5. 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.
    6. Kumar, Ankit & Das, Subir & Singh, Sunny & Rajeev,, 2023. "Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
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    8. Liu, Xiwei & Chen, Tianping, 2008. "Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4429-4439.
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