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Pinning impulsive synchronization of two-layer heterogeneous delayed networks

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  • Ning, Di
  • Chen, Juan
  • Jiang, Meiying

Abstract

This article mainly investigates pinning impulsive synchronization of the two-layer delayed network with unidirectional interlayer coupling and transmission delays. The intralayer topologies of different layers are independent each other, and the nodal dynamics in each layer are different as well. Using the Lyapunov stability theory and the auxiliary system method, several pinning impulsive strategies for guaranteeing interlayer generalized synchronization of two-layer delayed networks are put forward. When the impulse interval is fixed as a constant value, the smallest number of pinned nodes and largest impulse interval needed theoretically for ensuring interlayer generalized synchronization are obtained. Specially, when the impulse strengths, the impulse interval, and the number of pinned nodes are respectively set to constant values independent of the impulsive instant, the influences of these parameters on the synchronized region are further discussed. Furthermore, it is found that the relatively small interlayer transmission delay is beneficial to interlayer generalized synchronization. Numerical simulations are presented to verify the effectiveness and correctness of the proposed schemes.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:586:y:2022:i:c:s0378437121007342
    DOI: 10.1016/j.physa.2021.126461
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    References listed on IDEAS

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    Cited by:

    1. Liu, Shuang & Xu, Tianwei & Wang, Qingyun & Yang, Yan, 2024. "The impulsive synchronization of multiplex networks with mixed delays and dual uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 141-163.
    2. Cheng Zhang & Chuan Zhang & Fanwei Meng & Yi Liang, 2023. "Event-Triggered Control for Intra/Inter-Layer Synchronization and Quasi-Synchronization in Two-Layer Coupled Networks," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    3. Tang, Longkun & Wang, Jiadong & Liang, Jianli, 2023. "Inter-layer synchronization on a two-layer network of unified chaotic systems: The role of network nodal dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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