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Pinning impulsive cluster synchronization of complex dynamical network

Author

Listed:
  • Liu, Lingfeng
  • Liu, Kui
  • Xiang, Hongyue
  • Liu, Qian

Abstract

Synchronization of complex dynamical network has been a hot topic for its practical applications. In this paper, the pinning impulsive cluster synchronization of complex dynamical network is investigated. Based on the theories of Lyapunov stability and impulsive differential equations, our pinning impulsive control strategy is proved to be correct and effective for realizing cluster synchronization once the sufficient condition given in the theorem is satisfied, and is also universal for different dynamical networks. Moreover, some numerical simulations are performed to show that our control strategy is quite effective and convenient.

Suggested Citation

  • Liu, Lingfeng & Liu, Kui & Xiang, Hongyue & Liu, Qian, 2020. "Pinning impulsive cluster synchronization of complex dynamical network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319934
    DOI: 10.1016/j.physa.2019.123580
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    References listed on IDEAS

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    1. Fang, Qingxiang & Peng, Jigen, 2018. "Synchronization of fractional-order linear complex networks with directed coupling topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 542-553.
    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.
    3. Xuan Zhou & Kui Luo, 2014. "Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, June.
    4. Liu, Lingfeng & Miao, Suoxia, 2018. "Outer synchronization between delayed coupling networks with different dynamics and uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 890-901.
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    Cited by:

    1. Shoreh, A.A.-H. & Kuznetsov, N.V. & Mokaev, T.N., 2022. "New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    2. Lin, Hai & Wang, Jingcheng, 2022. "Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    3. Yi Wang & Zhaoyan Wu, 2021. "Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control," Mathematics, MDPI, vol. 9(20), pages 1-12, October.
    4. Fan, Hongguang & Shi, Kaibo & Zhao, Yi, 2022. "Pinning impulsive cluster synchronization of uncertain complex dynamical networks with multiple time-varying delays and impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    5. Fan, Hongguang & Shi, Kaibo & Zhao, Yi, 2022. "Global μ-synchronization for nonlinear complex networks with unbounded multiple time delays and uncertainties via impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    6. Ning, Di & Chen, Juan & Jiang, Meiying, 2022. "Pinning impulsive synchronization of two-layer heterogeneous delayed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).

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