IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v170y2023ics0960077923002448.html
   My bibliography  Save this article

Enhanced explosive synchronization in heterogeneous oscillator populations with higher-order interactions

Author

Listed:
  • Xu, Can
  • Zhai, Yun
  • Wu, Yonggang
  • Zheng, Zhigang
  • Guan, Shuguang

Abstract

Explosive synchronization underlying many realistic dynamic processes has attracted great attention in the various fields. Here, we generalize the Kuramoto model with heterogeneous coupling incorporating the higher-order interactions encoded with the simplicial complexes. We show that the introduced nonlinear couplings can significantly enhance the emergence of explosive synchronization in addition to the pairwise interactions. In particular, we uncover that the critical thresholds manifesting the onset or vanishing of the abrupt synchronization are enlarged as the fraction of the higher-order interactions increases. As a consequence, the backward critical order parameter characterizing the desynchronization transition and the width of hysteresis supporting the bistability are remarkably improved. More importantly, we provide an analytical treatment for untangling the stability properties of the equilibrium states at different levels, which allows us to understand the bifurcation mechanism and locate the associated critical points. This study is a step forward in highlighting the importance of higher-order interactions among dynamical units, which might provide control strategies for the induced abrupt emergent phenomena in networked system.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002448
    DOI: 10.1016/j.chaos.2023.113343
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923002448
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.113343?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. L. V. Gambuzza & F. Patti & L. Gallo & S. Lepri & M. Romance & R. Criado & M. Frasca & V. Latora & S. Boccaletti, 2021. "Stability of synchronization in simplicial complexes," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    2. Wu, Yonggang & Zheng, Zhigang & Tang, Longkun & Xu, Can, 2022. "Synchronization dynamics of phase oscillator populations with generalized heterogeneous coupling," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    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. Xu, Can & Yu, Huajian & Guan, Shuguang, 2023. "Dynamical origin of the explosive synchronization with partial adaptive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Biswas, Dhrubajyoti & Gupta, Sayan, 2024. "Symmetry-breaking higher-order interactions in coupled phase oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 181(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. Krishnagopal, Sanjukta & Bianconi, Ginestra, 2023. "Topology and dynamics of higher-order multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Atiyeh Bayani & Fahimeh Nazarimehr & Sajad Jafari & Kirill Kovalenko & Gonzalo Contreras-Aso & Karin Alfaro-Bittner & Rubén J. Sánchez-García & Stefano Boccaletti, 2024. "The transition to synchronization of networked systems," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    3. Contreras-Aso, Gonzalo & Criado, Regino & Vera de Salas, Guillermo & Yang, Jinling, 2023. "Detecting communities in higher-order networks by using their derivative graphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    4. Xu, Yan & Feng, Meiling & Zhu, Yuying & Xia, Chengyi, 2022. "Multi-player snowdrift game on scale-free simplicial complexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    5. Singh, Arpit & Verma, Umesh Kumar & Mishra, Ajay & Yadav, Kiran & Sharma, Amit & Varshney, Vaibhav, 2024. "Higher-order-interaction in multiplex neuronal network with electric and synaptic coupling," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    6. Muolo, Riccardo & Gallo, Luca & Latora, Vito & Frasca, Mattia & Carletti, Timoteo, 2023. "Turing patterns in systems with high-order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    7. Muolo, Riccardo & Carletti, Timoteo & Bianconi, Ginestra, 2024. "The three way Dirac operator and dynamical Turing and Dirac induced patterns on nodes and links," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    8. Li, Xing & He, Runzi & Xi, Yuxia & Xue, Yakui & Wang, Yunfei & Luo, Xiaofeng, 2024. "The increasing strength of higher-order interactions may homogenize the distribution of infections in Turing patterns," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    9. Li, Xueqi & Ghosh, Dibakar & Lei, Youming, 2023. "Chimera states in coupled pendulum with higher-order interaction," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    10. Guo, H. & Jia, D. & Sendiña-Nadal, I. & Zhang, M. & Wang, Z. & Li, X. & Alfaro-Bittner, K. & Moreno, Y. & Boccaletti, S., 2021. "Evolutionary games on simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    11. 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.
    12. Vera-Ávila, V.P. & Rivera-Durón, R.R. & Soriano-Garcia, Miguel S. & Sevilla-Escoboza, R. & Buldú, Javier M., 2024. "Electronic implementation of simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    13. Zhao, Nannan & Zhang, Xuexue, 2023. "Impact of higher-order interactions on amplitude death of coupled oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    14. Biswas, Dhrubajyoti & Gupta, Sayan, 2024. "Symmetry-breaking higher-order interactions in coupled phase oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    15. Martina Contisciani & Federico Battiston & Caterina De Bacco, 2022. "Inference of hyperedges and overlapping communities in hypergraphs," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    16. Ramasamy, Mohanasubha & Devarajan, Subhasri & Kumarasamy, Suresh & Rajagopal, Karthikeyan, 2022. "Effect of higher-order interactions on synchronization of neuron models with electromagnetic induction," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    17. Li, Shuyu & Li, Xiang, 2023. "Influence maximization in hypergraphs: A self-optimizing algorithm based on electrostatic field," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    18. Shang, Yilun, 2022. "Sombor index and degree-related properties of simplicial networks," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    19. Zhang, Ziyu & Mei, Xuehui & Jiang, Haijun & Luo, Xupeng & Xia, Yang, 2023. "Dynamical analysis of Hyper-SIR rumor spreading model," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    20. 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).

    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:170:y:2023:i:c:s0960077923002448. 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.