IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v184y2024ics0960077924005526.html
   My bibliography  Save this article

Synchronization of multi-directed hypergraphs via adaptive pinning control

Author

Listed:
  • Li, Kezan
  • Lin, Yingmei
  • Wang, Junyi

Abstract

This paper proposes a new complex dynamical network defined on multi-directed hypergraphs, and designs an adaptive pinning control scheme to regulate the network to achieve complete synchronization. By using the Lyapunov function method and analyzing the defined Laplacian matrices of multi-directed hypergraphs, we obtain the sufficient condition for global asymptotical stability of the synchronization of controlled dynamical network. Based on the obtained stability condition and renumbering theorem, we develop novel algorithms to determine pinned nodes under different directed higher-order structures. By introducing directed weighted hypergraph models, we further find that the directionality of multi-directed hypergraphs can either promote synchronization or suppress synchronization, depending on the weighting method and coupling strength. By utilizing the chaotic Chua’s circuit as nodes’ local dynamics, some numerical examples are presented to illustrate the theoretical results.

Suggested Citation

  • Li, Kezan & Lin, Yingmei & Wang, Junyi, 2024. "Synchronization of multi-directed hypergraphs via adaptive pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005526
    DOI: 10.1016/j.chaos.2024.115000
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924005526
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115000?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. Jacopo Grilli & György Barabás & Matthew J. Michalska-Smith & Stefano Allesina, 2017. "Higher-order interactions stabilize dynamics in competitive network models," Nature, Nature, vol. 548(7666), pages 210-213, August.
    2. Xu, Can & Zhai, Yun & Wu, Yonggang & Zheng, Zhigang & Guan, Shuguang, 2023. "Enhanced explosive synchronization in heterogeneous oscillator populations with higher-order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Shi, Tian & Qin, Yi & Yang, Qi & Ma, Zhongjun & Li, Kezan, 2023. "Synchronization of directed uniform hypergraphs via adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    4. Zhou, Peipei & Cai, Shuiming & Jiang, Shengqin & Liu, Zengrong, 2018. "Exponential cluster synchronization in directed community networks via adaptive nonperiodically intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1267-1280.
    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. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. 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).
    3. 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.
    4. Dai, Hui & Wang, Xiaoyue & Lu, Yikang & Hou, Yunxiang & Shi, Lei, 2024. "The effect of intraspecific cooperation in a three-species cyclic predator-prey model," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    5. Alicia Sanchez-Gorostiaga & Djordje Bajić & Melisa L Osborne & Juan F Poyatos & Alvaro Sanchez, 2019. "High-order interactions distort the functional landscape of microbial consortia," PLOS Biology, Public Library of Science, vol. 17(12), pages 1-34, December.
    6. Martin-I. Trappe & Ryan A. Chisholm, 2023. "A density functional theory for ecology across scales," Nature Communications, Nature, vol. 14(1), pages 1-15, December.
    7. Wang, Fei & Yang, Yongqing, 2018. "Intermittent synchronization of fractional order coupled nonlinear systems based on a new differential inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 142-152.
    8. Feng Shi & James Evans, 2023. "Surprising combinations of research contents and contexts are related to impact and emerge with scientific outsiders from distant disciplines," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    9. 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).
    10. Hu, Xin & Wang, Zhishuang & Sun, Qingyi & Chen, Jiaxing & Zhao, Dawei & Xia, Chengyi, 2024. "Coupled propagation between one communicable disease and related two types of information on multiplex networks with simplicial complexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    11. Li, Jie & Shen, Xuzhu & Li, YaoTang, 2021. "Modeling the temporal dynamics of gut microbiota from a local community perspective," Ecological Modelling, Elsevier, vol. 460(C).
    12. Zhou, Jiaying & Zhao, Yi & Wu, ZhaoYan, 2019. "Cluster synchronization of fractional-order directed networks via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 22-33.
    13. Zhao, Dandan & Li, Runchao & Peng, Hao & Zhong, Ming & Wang, Wei, 2022. "Percolation on simplicial complexes," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    14. Cai, Shuiming & Hou, Meiyuan, 2021. "Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    15. Chen, Shiliang & Liu, Xiang & He, Qiang & Zhou, Shurong, 2022. "Higher-order interactions on disease transmission can reverse the dilution effect or weaken the amplification effect to unimodal pattern," Ecological Modelling, Elsevier, vol. 474(C).
    16. Zhang, Kebo & Hong, Xiao & Han, Yuexing & Wang, Bing, 2024. "Interplay of simplicial information propagation and epidemic spreading on multiplex metapopulation networks," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    17. Térence Legrand & Anne Chenuil & Enrico Ser-Giacomi & Sophie Arnaud-Haond & Nicolas Bierne & Vincent Rossi, 2022. "Spatial coalescent connectivity through multi-generation dispersal modelling predicts gene flow across marine phyla," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    18. Brandl, Florian & Brandt, Felix, 2024. "A natural adaptive process for collective decision-making," Theoretical Economics, Econometric Society, vol. 19(2), May.
    19. Luca Gallo & Lucas Lacasa & Vito Latora & Federico Battiston, 2024. "Higher-order correlations reveal complex memory in temporal hypergraphs," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    20. Gerrit Ansmann & Tobias Bollenbach, 2021. "Building clone-consistent ecosystem models," PLOS Computational Biology, Public Library of Science, vol. 17(2), pages 1-25, February.

    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:chsofr:v:184:y:2024:i:c:s0960077924005526. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.