IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v199y2025ip1s0960077925007623.html

Analysis of synchronization transitions in higher-order Kuramoto oscillator system with different orders of phase lags

Author

Listed:
  • Li, Tianyu
  • Xie, Ying
  • Ye, Zhiqiu
  • Zeng, Jiapei
  • Liu, Yingqi
  • Liu, Lu
  • Jia, Ya

Abstract

Phase lag plays a crucial role in the modeling and understanding of various complex systems. In this work, two phase lags acting on different orders of coupling are introduced in Kuramoto oscillator system. Based on a low-dimensional model, theoretical analysis precisely reveals that increasing the phase lag associated with the pairwise coupling does not alter the synchronization transition mode but shifts both the saddle-node and subcritical bifurcation points. Moreover, it leads to an expansion of the hysteresis width during explosive synchronization. In contrast, increasing the phase lag related to the 2-simplex coupling progressively reduces the hysteresis width until the system exhibits a continuous synchronization transition. These conclusions are also verified in two empirical networks, where a network with higher average 2-simplex degree is more likely to induce explosive synchronization and wider hysteresis region.

Suggested Citation

  • Li, Tianyu & Xie, Ying & Ye, Zhiqiu & Zeng, Jiapei & Liu, Yingqi & Liu, Lu & Jia, Ya, 2025. "Analysis of synchronization transitions in higher-order Kuramoto oscillator system with different orders of phase lags," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925007623
    DOI: 10.1016/j.chaos.2025.116749
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925007623
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116749?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Laptyeva, T. & Jalan, S. & Ivanchenko, M., 2025. "Explosive synchronization in multiplex multiple timescale networks with higher-order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    2. Kim, Cook Hyun & Park, Jinha & Kim, Young Jin & Park, Sangjoon & Boccaletti, S. & Kahng, B., 2025. "Cluster-mediated synchronization dynamics in globally coupled oscillators with inertia," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    3. Yu, Dong & Wang, Guowei & Ding, Qianming & Li, Tianyu & Jia, Ya, 2022. "Effects of bounded noise and time delay on signal transmission in excitable neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Kevin P. O’Keeffe & Hyunsuk Hong & Steven H. Strogatz, 2017. "Oscillators that sync and swarm," Nature Communications, Nature, vol. 8(1), pages 1-13, December.
    5. 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).
    6. Li, Tianyu & Wu, Yong & Ding, Qianming & Xie, Ying & Yu, Dong & Yang, Lijian & Jia, Ya, 2024. "Social contagion in high-order network with mutation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    7. Biswas, Debabrata & Mandal, Tapas & Banerjee, Tanmoy, 2024. "Transition among oscillation death, amplitude death, and revival of oscillation in coupled time-delayed systems with diffusivity and common environment," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    8. Du, Feifei & Lu, Jun-Guo, 2021. "New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay," Applied Mathematics and Computation, Elsevier, vol. 389(C).
    9. Yuanzhao Zhang & Maxime Lucas & Federico Battiston, 2023. "Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    10. Federico Malizia & Santiago Lamata-Otín & Mattia Frasca & Vito Latora & Jesús Gómez-Gardeñes, 2025. "Hyperedge overlap drives explosive transitions in systems with higher-order interactions," Nature Communications, Nature, vol. 16(1), pages 1-10, December.
    11. Sara Pérez-García & Mario García-Navarrete & Diego Ruiz-Sanchis & Cristina Prieto-Navarro & Merisa Avdovic & Ornella Pucciariello & Krzysztof Wabnik, 2021. "Synchronization of gene expression across eukaryotic communities through chemical rhythms," Nature Communications, Nature, vol. 12(1), pages 1-10, December.
    12. 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.
    13. Jia, Junen & Wang, Chunni & Zhang, Xiaofeng & Zhu, Zhigang, 2024. "Energy and self-adaption in a memristive map neuron," Chaos, Solitons & Fractals, Elsevier, vol. 182(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. Huang, Weifang & Wu, Yong & Ding, Qianming & Jia, Ya & Yang, Lijian, 2025. "Effects of higher-order interactions and electromagnetic induction on synchronization in Hindmarsh–Rose neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    2. Lu, Yichen & Xu, Yixin & Cai, Wanrou & Tian, Zhuanghe & Xu, Jie & Wang, Simin & Zhu, Tong & Liu, Yali & Wang, Mengchu & Zhou, Yilin & Yan, Chengxu & Li, Chenlu & Zheng, Zhigang, 2025. "Self-organized circling, clustering and swarming in populations of chiral swarmalators," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    3. Gao, Yihan & Li, Jiachen & Gao, Feng & Wang, Wei, 2026. "Coevolution of multipathogens on higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    4. Maxime Lucas & Luca Gallo & Arsham Ghavasieh & Federico Battiston & Manlio De Domenico, 2026. "Reducibility of higher-order networks from dynamics," Nature Communications, Nature, vol. 17(1), pages 1-16, December.
    5. Li, Ming & Huo, Liang'an, 2025. "Effects of individual social skills heterogeneity and reinforcement mechanisms on co-evolution of disease and information within hypernetworks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    6. Zeng, Lang & Han, Lilei, 2025. "Shaping contagion with group synergy in hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    7. Li, Tianyu & Wu, Yong & Ding, Qianming & Xie, Ying & Yu, Dong & Yang, Lijian & Jia, Ya, 2024. "Social contagion in high-order network with mutation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    8. 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).
    9. Ping, Zhu, 2023. "Analytical equivalent transformation method for nonlinear stochastic dynamics with multiple noises in high dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    10. Federico Malizia & Santiago Lamata-Otín & Mattia Frasca & Vito Latora & Jesús Gómez-Gardeñes, 2025. "Hyperedge overlap drives explosive transitions in systems with higher-order interactions," Nature Communications, Nature, vol. 16(1), pages 1-10, December.
    11. Chen, Lei & Lu, Juntao & Wang, Yalin & Jia, Chunxiao & Liu, Run-Ran & Meng, Fanyuan, 2025. "Cascading failures with group support in interdependent hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    12. Liu, Yihan & Tang, Ming & Zhou, Yinzuo, 2026. "The impact of high-order multi-source information verification mechanisms on propagation dynamics in multilayer high-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    13. Yang, Zhanying & Zhang, Jie & Zhang, Zhihui & Mei, Jun, 2023. "An improved criterion on finite-time stability for fractional-order fuzzy cellular neural networks involving leakage and discrete delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 910-925.
    14. 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.
    15. Yu, Dong & Wu, Yong & Yang, Lijian & Zhao, Yunjie & Jia, Ya, 2023. "Effect of topology on delay-induced multiple resonances in locally driven systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    16. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    17. Minati, Ludovico & Innocenti, Giacomo & Mijatovic, Gorana & Ito, Hiroyuki & Frasca, Mattia, 2022. "Mechanisms of chaos generation in an atypical single-transistor oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    18. Carballosa, Alejandro & Muñuzuri, Alberto P., 2022. "Intermittency regimes of poorly-mixed chemical oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    19. Yu, Xingwang & Wang, Shengdan & Yang, Yanhua & Ma, Yuanlin & Liu, Tiantian & Wei, Yifan, 2025. "P-bifurcation and bistability arising from cross-correlated sine-Wiener bounded noises: A stochastic single-species model incorporating double Allee effects," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    20. Zhen Yang & Zhengqiu Zhang, 2022. "Finite-Time Synchronization Analysis for BAM Neural Networks with Time-Varying Delays by Applying the Maximum-Value Approach with New Inequalities," Mathematics, MDPI, vol. 10(5), pages 1-16, March.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:199:y:2025:i:p1:s0960077925007623. 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.