IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v588y2022ics0378437121008372.html
   My bibliography  Save this article

Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling

Author

Listed:
  • Lin, Hai
  • Wang, Jingcheng

Abstract

This article studies the pinning control problem for complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling. The design aim is to provide appropriate pinning feedback controllers such that the nodes converge to the consistent state as well as the equilibrium point, periodic orbit or chaotic orbit of the nonlinear part of the node dynamic. Based on Lyapunov function theory, appropriate positive-definite functions are constructed, and sufficient synchronization criteria for two kinds of complex networks with different time-varying delay coupling are obtained respectively. Meanwhile, the boundary of the time-varying outer coupling and its influence on the synchronization are investigated. The theoretical results are extended to complex networks with general time-varying delay coupling. Simulation results on complex networks consisting of six nonidentical Chua’s circuits with time-varying outer coupling and nonlinear multiple time-varying delay coupling are presented to demonstrate the effectiveness of the proposed approaches.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:588:y:2022:i:c:s0378437121008372
    DOI: 10.1016/j.physa.2021.126564
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121008372
    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.2021.126564?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. Lü, Ling & Wei, Qingtao & Jia, Hao & Tian, Shuo & Xu, Zhao & Zhao, Lina & Xu, Zhichao & Xu, Xianying, 2019. "Parameter identification and synchronization between uncertain delay networks based on the coupling technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Zhou, Mingyang & Li, Xiaoyu & Xiong, Wenman & Wu, Xiangyang & Liao, Hao, 2019. "Cooperation of local and collective synchronization in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    3. 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.
    4. Scabini, Leonardo F.S. & Ribas, Lucas C. & Neiva, Mariane B. & Junior, Altamir G.B. & Farfán, Alex J.F. & Bruno, Odemir M., 2021. "Social interaction layers in complex networks for the dynamical epidemic modeling of COVID-19 in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    5. Zhang, Lei & Liu, Jing, 2020. "Exponential synchronization for delayed coupled systems on networks via graph-theoretic method and periodically intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    6. 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.
    7. 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).
    8. Cheng, Ranran & Peng, Mingshu & Yu, Jinchen & Li, Haifen, 2019. "Synchronization for discrete-time complex networks with probabilistic time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1088-1101.
    9. Zhang, Chunmei & Yang, Yinghui, 2020. "Synchronization of stochastic multi-weighted complex networks with Lévy noise based on graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    10. Cai, Shuiming & Zhou, Feilong & He, Qinbin, 2019. "Fixed-time cluster lag synchronization in directed heterogeneous community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 128-142.
    11. Esmaeilpour Moghadam, Hadi & Mohammadi, Teymour & Feghhi Kashani, Mohammad & Shakeri, Abbas, 2019. "Complex networks analysis in Iran stock market: The application of centrality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    12. Meng, Yangyang & Tian, Xiangliang & Li, Zhongwen & Zhou, Wei & Zhou, Zhijie & Zhong, Maohua, 2020. "Exploring node importance evolution of weighted complex networks in urban rail transit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    13. Yi Zhao & Jianwen Feng & Jingyi Wang, 2013. "Cluster Synchronization of Impulsive Complex Networks with Stochastic Perturbations and Time-Varying Delays," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, December.
    14. Wu, Jianshe & Jiao, Licheng, 2008. "Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2111-2119.
    15. De Bona, Anderson Andrei & de Oliveira Rosa, Marcelo & Ono Fonseca, Keiko Verônica & Lüders, Ricardo, 2021. "A reduced model for complex network analysis of public transportation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    16. 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).
    17. Li, Xuechen & Wang, Nan & Lu, Jianquan & Alsaadi, Fuad E., 2019. "Pinning outer synchronization of partially coupled dynamical networks with complex inner coupling matrices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 497-509.
    18. Zhou, Peipei & Shen, Yafei & Cai, Shuiming, 2019. "Nonperiodic intermittent control for pinning synchronization of directed dynamical networks with internal delay and hybrid coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    Full references (including those not matched with items on IDEAS)

    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. 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).
    2. Chen, Junlan & Pu, Ziyuan & Guo, Xiucheng & Cao, Jieyu & Zhang, Fang, 2023. "Multiperiod metro timetable optimization based on the complex network and dynamic travel demand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    3. 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).
    4. Yangyang Meng & Xiaofei Zhao & Jianzhong Liu & Qingjie Qi, 2023. "Dynamic Influence Analysis of the Important Station Evolution on the Resilience of Complex Metro Network," Sustainability, MDPI, vol. 15(12), pages 1-15, June.
    5. Marcus Berliant & Axel H. Watanabe, 2018. "A scale‐free transportation network explains the city‐size distribution," Quantitative Economics, Econometric Society, vol. 9(3), pages 1419-1451, November.
    6. An, Sufang & Gao, Xiangyun & An, Haizhong & Liu, Siyao & Sun, Qingru & Jia, Nanfei, 2020. "Dynamic volatility spillovers among bulk mineral commodities: A network method," Resources Policy, Elsevier, vol. 66(C).
    7. Xiangyun Gao & Haizhong An & Weiqiong Zhong, 2013. "Features of the Correlation Structure of Price Indices," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-9, April.
    8. Chung-Yuan Huang & Chuen-Tsai Sun & Hsun-Cheng Lin, 2005. "Influence of Local Information on Social Simulations in Small-World Network Models," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 8(4), pages 1-8.
    9. Shi, Jinyao & Zhou, Peipei & Cai, Shuiming & Jia, Qiang, 2023. "Exponential synchronization for multi-weighted dynamic networks via finite-level quantized control with adaptive scaling gain," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    10. Yu, Haitao & Guo, Xinmeng & Wang, Jiang & Deng, Bin & Wei, Xile, 2015. "Vibrational resonance in adaptive small-world neuronal networks with spike-timing-dependent plasticity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 170-179.
    11. Mark Newman, 1999. "Small Worlds: The Structure of Social Networks," Working Papers 99-12-080, Santa Fe Institute.
    12. An, Haizhong & Gao, Xiangyun & Fang, Wei & Ding, Yinghui & Zhong, Weiqiong, 2014. "Research on patterns in the fluctuation of the co-movement between crude oil futures and spot prices: A complex network approach," Applied Energy, Elsevier, vol. 136(C), pages 1067-1075.
    13. Yu, Haitao & Guo, Xinmeng & Wang, Jiang & Deng, Bin & Wei, Xile, 2015. "Spike coherence and synchronization on Newman–Watts small-world neuronal networks modulated by spike-timing-dependent plasticity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 307-317.
    14. Song, Xiao & Shi, Wen & Ma, Yaofei & Yang, Chen, 2015. "Impact of informal networks on opinion dynamics in hierarchically formal organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 916-924.
    15. 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).
    16. Huang, Chung-Yuan & Tsai, Yu-Shiuan, 2010. "Effects of friend-making resources/costs and remembering on acquaintance networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 604-622.
    17. Liu, Hao & Chen, Xin & Huo, Long & Zhang, Yadong & Niu, Chunming, 2022. "Impact of inter-network assortativity on robustness against cascading failures in cyber–physical power systems," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    18. Quanbo Zha & Gang Kou & Hengjie Zhang & Haiming Liang & Xia Chen & Cong-Cong Li & Yucheng Dong, 2020. "Opinion dynamics in finance and business: a literature review and research opportunities," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 6(1), pages 1-22, December.
    19. Vidal-Tomás, David, 2021. "Transitions in the cryptocurrency market during the COVID-19 pandemic: A network analysis," Finance Research Letters, Elsevier, vol. 43(C).
    20. Lu, Zhe-Ming & Guo, Shi-Ze, 2012. "A small-world network derived from the deterministic uniform recursive tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 87-92.

    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:588:y:2022:i:c:s0378437121008372. 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.