IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v586y2022ics0378437121007342.html
   My bibliography  Save this article

Pinning impulsive synchronization of two-layer heterogeneous delayed networks

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121007342
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126461?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    2. Leng, Hui & Wu, Zhaoyan, 2019. "Impulsive synchronization of complex-variable network with distributed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    3. 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).
    4. Duncan J. Watts & Steven H. Strogatz, 1998. "Collective dynamics of ‘small-world’ networks," Nature, Nature, vol. 393(6684), pages 440-442, June.
    5. Shi, Lin & Zhang, Chunmei & Zhong, Shouming, 2021. "Synchronization of singular complex networks with time-varying delay via pinning control and linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    6. Liu, Xinzhi & Zhang, Kexue & Xie, Wei-Chau, 2016. "Stabilization of time-delay neural networks via delayed pinning impulses," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 223-234.
    7. Li, Xiaodi & Shen, Jianhua & Rakkiyappan, R., 2018. "Persistent impulsive effects on stability of functional differential equations with finite or infinite delay," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 14-22.
    8. 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).
    9. Zhao, Yongshun & Li, Xiaodi & Cao, Jinde, 2020. "Global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    10. Li, Xiaodi & Yang, Xueyan & Huang, Tingwen, 2019. "Persistence of delayed cooperative models: Impulsive control method," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 130-146.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Zhang, Qunjiao & Luo, Juan & Tong, Ping & Wan, Li & Wu, Xiaoqun, 2024. "Asynchronous impulsive consensus of discrete-time nonlinear multi-agent systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    4. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. Yujuan Tian & Yuhan Yin & Fei Wang & Kening Wang, 2022. "Impulsive Control of Complex-Valued Neural Networks with Mixed Time Delays and Uncertainties," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    3. Zhao, Yongshun & Li, Xiaodi & Cao, Jinde, 2020. "Global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    4. Zhao, Shiyi & Pan, Yingnan & Du, Peihao & Liang, Hongjing, 2020. "Adaptive control for non-affine nonlinear systems with input saturation and output dead zone," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    6. Bei Zhang & Yonghui Xia & Lijuan Zhu & Haidong Liu & Longfei Gu, 2019. "Global Stability of Fractional Order Coupled Systems with Impulses via a Graphic Approach," Mathematics, MDPI, vol. 7(8), pages 1-10, August.
    7. Gancio, Juan & Rubido, Nicolás, 2022. "Critical parameters of the synchronisation's stability for coupled maps in regular graphs," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    8. 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).
    9. Li, Zhao-Yan & Shang, Shengnan & Lam, James, 2019. "On stability of neutral-type linear stochastic time-delay systems with three different delays," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 147-166.
    10. Xiongrui Wang & Ruofeng Rao & Shouming Zhong, 2020. "p th Moment Stability of a Stationary Solution for a Reaction Diffusion System with Distributed Delays," Mathematics, MDPI, vol. 8(2), pages 1-10, February.
    11. He, Xinyi & Wang, Yuhan & Li, Xiaodi, 2021. "Uncertain impulsive control for leader-following synchronization of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    12. Zhu, Chenhong & Li, Xiaodi & Wang, Kening, 2020. "An anti-windup approach for nonlinear impulsive system subject to actuator saturation," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    13. Cao, Jing & Fan, Jinjun, 2021. "Discontinuous dynamical behaviors in a 2-DOF friction collision system with asymmetric damping," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    14. Dongwei Guo & Mengmeng Fu & Hai Li, 2021. "Cooperation in Social Dilemmas: A Group Game Model with Double-Layer Networks," Future Internet, MDPI, vol. 13(2), pages 1-27, January.
    15. Xiaodi Li & A. Vinodkumar & T. Senthilkumar, 2019. "Exponential Stability Results on Random and Fixed Time Impulsive Differential Systems with Infinite Delay," Mathematics, MDPI, vol. 7(9), pages 1-22, September.
    16. 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).
    17. Jie Zhang & Lingfeng Dong & Ting Ji, 2023. "The Diffusion of Competitive Platform-Based Products with Network Effects," Sustainability, MDPI, vol. 15(11), pages 1-18, May.
    18. Sayari, Elaheh & Seifert, Evandro G. & Cruziniani, Fátima E. & Gabrick, Enrique C. & Iarosz, Kelly C. & Szezech, José D. & Baptista, Murilo S. & Caldas, Iberê L. & Batista, Antonio M., 2023. "Structural connectivity modifications in the brain of selected patients with tumour after its removal by surgery (a case study)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    19. Ruofeng Rao, 2019. "Global Stability of a Markovian Jumping Chaotic Financial System with Partially Unknown Transition Rates under Impulsive Control Involved in the Positive Interest Rate," Mathematics, MDPI, vol. 7(7), pages 1-15, June.
    20. Huan Wang & Chuang Ma & Han-Shuang Chen & Ying-Cheng Lai & Hai-Feng Zhang, 2022. "Full reconstruction of simplicial complexes from binary contagion and Ising data," Nature Communications, Nature, vol. 13(1), pages 1-10, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:586:y:2022:i:c:s0378437121007342. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.