IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v676y2025ics0378437125005552.html

Synchronization transition induced in a partial resetting oscillator system with adaptive coupling

Author

Listed:
  • Li, Tianyu
  • Xie, Ying
  • Yu, Dong
  • Hu, Yipeng
  • Jia, Ya
  • Yang, Lijian

Abstract

Explosive synchronization has gained significant attention due to its potential applications in understanding complex dynamic systems. This study systematically examines the impacts of partial resetting and adaptive coupling on the synchronization transition in globally coupled Kuramoto oscillators by employing the self-consistent equation and Ott-Antonsen ansatz under three scenarios. The critical coupling strength is determined by the stability of the incoherent solution. Near the critical coupling strength, perturbation analysis reveals that a sufficient resetting proportion is key to inducing explosive synchronization. A non-zero mean of the oscillator's natural frequency distribution is the next dominant factor of explosive synchronization. Increasing the resetting frequency shrinks the hysteresis region, which may ultimately yield a continuous transition. The numerical simulations align well with theoretical analysis.

Suggested Citation

  • Li, Tianyu & Xie, Ying & Yu, Dong & Hu, Yipeng & Jia, Ya & Yang, Lijian, 2025. "Synchronization transition induced in a partial resetting oscillator system with adaptive coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 676(C).
    • Handle: RePEc:eee:phsmap:v:676:y:2025:i:c:s0378437125005552
    DOI: 10.1016/j.physa.2025.130903
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125005552
    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.2025.130903?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. Zhang, Yaofeng & Xiao, Renbin, 2014. "Synchronization of Kuramoto oscillators in small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 33-40.
    2. Michele N. Insanally & Badr F. Albanna & Jade Toth & Brian DePasquale & Saba Shokat Fadaei & Trisha Gupta & Olivia Lombardi & Kishore Kuchibhotla & Kanaka Rajan & Robert C. Froemke, 2024. "Contributions of cortical neuron firing patterns, synaptic connectivity, and plasticity to task performance," Nature Communications, Nature, vol. 15(1), pages 1-21, December.
    3. Iacopo Iacopini & Giovanni Petri & Alain Barrat & Vito Latora, 2019. "Simplicial models of social contagion," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    4. Bayani, Atiyeh & Jafari, Sajad & Azarnoush, Hamed & Nazarimehr, Fahimeh & Boccaletti, Stefano & Perc, Matjaž, 2023. "Explosive synchronization dependence on initial conditions: The minimal Kuramoto model," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Lee, Hae Seong & Park, Jong Il & Kim, Beom Jun, 2021. "Modified Kuramoto model with inverse-square law coupling and spatial time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    6. Lei, Lixing & Han, Wenchen & Yang, Junzhong, 2021. "Kuramoto model with correlation between coupling strength and natural frequency," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    7. Glavatskiy, Kirill & Kalloniatis, Alexander C., 2022. "Fisher Information and synchronisation transitions: A case-study of a finite size multi-network Kuramoto–Sakaguchi system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    8. Ciszak, Marzena & Olmi, Simona & Innocenti, Giacomo & Torcini, Alessandro & Marino, Francesco, 2021. "Collective canard explosions of globally-coupled rotators with adaptive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    9. Wu, Yong & Ding, Qianming & Huang, Weifang & Hu, Xueyan & Ye, Zhiqiu & Jia, Ya, 2024. "Dynamic modulation of external excitation enhance synchronization in complex neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    10. Manfred G Kitzbichler & Marie L Smith & Søren R Christensen & Ed Bullmore, 2009. "Broadband Criticality of Human Brain Network Synchronization," PLOS Computational Biology, Public Library of Science, vol. 5(3), pages 1-13, March.
    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. 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.
    2. Xianchen Wang & Zhen Wang & Shihong Dang & Jiaxin Dai, 2025. "Frequency-dependent synchronization in blinking networks: insights from Hindmarsh–Rose, Lorenz, and Rössler systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(8), pages 1-11, August.
    3. Zueva Marina V, 2018. "A New Look at Stimulation Therapy with Complex-Structured Stimuli in Traumatic Brain Injuries," Global Journal of Addiction & Rehabilitation Medicine, Juniper Publishers Inc., vol. 5(1), pages 12-16, January.
    4. 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.
    5. Werner, Gerhard, 2013. "Consciousness viewed in the framework of brain phase space dynamics, criticality, and the Renormalization Group," Chaos, Solitons & Fractals, Elsevier, vol. 55(C), pages 3-12.
    6. Kuptsov, Pavel V. & Stankevich, Nataliya V., 2025. "Reconstruction of neuromorphic dynamics from a single scalar time series using variational autoencoder and neural network map," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    7. Robert G. Sacco, 2019. "The Predictability of Synchronicity Experience: Results from a Survey of Jungian Analysts," International Journal of Psychological Studies, Canadian Center of Science and Education, vol. 11(3), pages 1-46, September.
    8. Singh, Arpit & Verma, Umesh Kumar & Sharma, Amit & Mishra, Ajay & Varshney, Vaibhav, 2026. "Chimera death in limit-cycle oscillators with higher-order multilayer networks," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    9. 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).
    10. Yuan, Liang & Wu, Jiao & Xu, Kesheng & Zheng, Muhua, 2025. "The recurrence of groups inhibits the information spreading under higher-order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 194(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. Gong, Chang & Li, Jichao & Qian, Liwei & Li, Siwei & Yang, Zhiwei & Yang, Kewei, 2024. "HMSL: Source localization based on higher-order Markov propagation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    13. Daniel Reisinger & Fabian Tschofenig & Raven Adam & Marie Lisa Kogler & Manfred Füllsack & Fabian Veider & Georg Jäger, 2024. "Patterns of stability in complex contagions," Journal of Computational Social Science, Springer, vol. 7(2), pages 1895-1911, October.
    14. Leng, Hui & Zhao, Yi & Luo, Jianfeng, 2024. "Simplicial epidemic model with a threshold policy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    15. 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).
    16. Christian Meisel & Alexander Storch & Susanne Hallmeyer-Elgner & Ed Bullmore & Thilo Gross, 2012. "Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks," PLOS Computational Biology, Public Library of Science, vol. 8(1), pages 1-8, January.
    17. Bao, Haibo & Wu, Xifen, 2025. "Epidemic propagation with competitive information in multiplex networks with simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    18. Guilherme Ferraz de Arruda & Giovanni Petri & Pablo Martin Rodriguez & Yamir Moreno, 2023. "Multistability, intermittency, and hybrid transitions in social contagion models on hypergraphs," Nature Communications, Nature, vol. 14(1), pages 1-15, December.
    19. Nie, Yanyi & Li, Wenyao & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Markovian approach to tackle competing pathogens in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    20. Keliger, Dániel & Horváth, Illés, 2023. "Accuracy criterion for mean field approximations of Markov processes on hypergraphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).

    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:phsmap:v:676:y:2025:i:c:s0378437125005552. 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.