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Nonperiodically intermittent pinning synchronization of complex-valued complex networks with non-derivative and derivative coupling

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  • Zheng, Song
  • Yuan, Liguo

Abstract

Considering the fact that time delays in practical systems are unavoidable and cannot be ignored, this paper studies nonperiodically intermittent pinning synchronization of delayed complex-valued complex dynamical networks with derivative coupling and parameters perturbation, in which the considered node systems have bounded parametric uncertainties. Different from previous works, the time-varying delays exist in the complex-valued node dynamics and non-derivative coupling forms. A nonperiodically intermittent pinning control scheme is proposed to stabilize the error system of drive–response complex-valued dynamical networks. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, firstly, the sufficient condition is derived, where the free time delay is considered; secondly, the synchronization condition is obtained, where we take into account the constrained time delay. Finally, numerical examples are given to illustrate the correctness of the obtained results and the theoretical analysis.

Suggested Citation

  • Zheng, Song & Yuan, Liguo, 2019. "Nonperiodically intermittent pinning synchronization of complex-valued complex networks with non-derivative and derivative coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 587-605.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:587-605
    DOI: 10.1016/j.physa.2019.03.045
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    References listed on IDEAS

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    1. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    2. Chuan Zhang & Xingyuan Wang & Chunpeng Wang & Zhiqiu Xia, 2017. "Outer synchronization of complex networks with internal delay and coupling delay via aperiodically intermittent pinning control," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(08), pages 1-18, August.
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    5. Zhang, Chuan & Wang, Xingyuan & Luo, Chao & Li, Junqiu & Wang, Chunpeng, 2018. "Robust outer synchronization between two nonlinear complex networks with parametric disturbances and mixed time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 251-264.
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    Cited by:

    1. Pan, Jinsong & Zhang, Zhengqiu, 2021. "Finite-time synchronization for delayed complex-valued neural networks via the exponential-type controllers of time variable," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    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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