IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v196y2025ics096007792500462x.html
   My bibliography  Save this article

Effects of network structure and node dynamics on synchronization with time delays

Author

Listed:
  • Wu, Yong
  • Xie, Ying
  • Huang, Weifang
  • Jia, Ya
  • Ye, Zhiqiu
  • Ding, Qianming

Abstract

The synchronization behavior of neuronal networks is central to the functionality of the nervous system and is influenced by factors such as network topology, node dynamics, and time delays. This study investigates the impact of time delays on the synchronization behavior of chemically synaptic coupled neuronal networks, with a focus on analyzing changes in synchronization stability under different time delays and their underlying mechanisms. Through master stability function (MSF) analysis, we found that only networks with homogeneous degrees possess the same synchronization manifold, and can achieve stable synchronization under appropriate time delays. Numerical simulation results indicate that heterogeneous networks can also synchronize under suitable delays. By combining phase response curve (PRC) analysis with node dynamics, we revealed that different phase stimuli lead to variations in the firing periods of nodes in the network, and these periods changes are key to whether the network can synchronize under time delay. The comparison between neuronal firing characteristics and PRC values further confirmed this conclusion. These findings provide theoretical support for understanding the synchronization mechanisms in neural networks and offer new insights into synchronization disorders in neurological diseases.

Suggested Citation

  • Wu, Yong & Xie, Ying & Huang, Weifang & Jia, Ya & Ye, Zhiqiu & Ding, Qianming, 2025. "Effects of network structure and node dynamics on synchronization with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s096007792500462x
    DOI: 10.1016/j.chaos.2025.116449
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792500462X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116449?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. Oren Amsalem & Guy Eyal & Noa Rogozinski & Michael Gevaert & Pramod Kumbhar & Felix Schürmann & Idan Segev, 2020. "An efficient analytical reduction of detailed nonlinear neuron models," Nature Communications, Nature, vol. 11(1), pages 1-13, December.
    2. Li, Xuening & Xie, Ying & Ye, Zhiqiu & Huang, Weifang & Yang, Lijian & Zhan, Xuan & Jia, Ya, 2024. "Chimera-like state in the bistable excitatory-inhibitory cortical neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    3. 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).
    4. Huang, Weifang & Wu, Yong & Ding, Qianming & Jia, Ya & Xie, Ying & Hu, Yipeng, 2025. "Synchronization behavior of memristive FitzHugh-Nagumo neurons in time-varying networks under external stimuli," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    5. M. E. J. Newman & D. J. Watts, 1999. "Scaling and Percolation in the Small-World Network Model," Working Papers 99-05-034, Santa Fe Institute.
    6. Protachevicz, Paulo Ricardo & Borges, Fernando da Silva & Batista, Antonio Marcos & Baptista, Murilo da Silva & Caldas, Iberê Luiz & Macau, Elbert Einstein Nehrer & Lameu, Ewandson Luiz, 2023. "Plastic neural network with transmission delays promotes equivalence between function and structure," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    7. Pieter R. Roelfsema & Andreas K. Engel & Peter König & Wolf Singer, 1997. "Visuomotor integration is associated with zero time-lag synchronization among cortical areas," Nature, Nature, vol. 385(6612), pages 157-161, January.
    8. Eugenio Rodriguez & Nathalie George & Jean-Philippe Lachaux & Jacques Martinerie & Bernard Renault & Francisco J. Varela, 1999. "Perception's shadow: long-distance synchronization of human brain activity," Nature, Nature, vol. 397(6718), pages 430-433, February.
    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. Hu, Xueyan & Ding, Qianming & Wu, Yong & Huang, Weifang & Yang, Lijian & Jia, Ya, 2024. "Dynamical rewiring promotes synchronization in memristive FitzHugh-Nagumo neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    2. 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).
    3. repec:plo:pcbi00:1002062 is not listed on IDEAS
    4. repec:plo:pone00:0044633 is not listed on IDEAS
    5. Cao, Haoyu & Yang, Zhiyin & Liu, Zonghua, 2023. "Remote synchronization in multi-layered community networks with star-like topology," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    6. repec:plo:pone00:0178975 is not listed on IDEAS
    7. Priscilla E Greenwood & Lawrence M Ward, 2024. "Attentional selection and communication through coherence: Scope and limitations," PLOS Computational Biology, Public Library of Science, vol. 20(8), pages 1-23, August.
    8. Vinayak, & Raghuvanshi, Adarsh & kshitij, Avinash, 2023. "Signatures of capacity development through research collaborations in artificial intelligence and machine learning," Journal of Informetrics, Elsevier, vol. 17(1).
    9. Deng, Bin & Deng, Yun & Yu, Haitao & Guo, Xinmeng & Wang, Jiang, 2016. "Dependence of inter-neuronal effective connectivity on synchrony dynamics in neuronal network motifs," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 48-59.
    10. 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).
    11. Lahtinen, Jani & Kertész, János & Kaski, Kimmo, 2005. "Sandpiles on Watts–Strogatz type small-worlds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 535-547.
    12. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    13. repec:osf:thesis:ar8ks_v1 is not listed on IDEAS
    14. Xu, Jiwei & Li, Jincheng & Han, Zhen & Zhu, Peican, 2024. "Coupled epidemic dynamics with awareness heterogeneity in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    15. Lee Fleming & Charles King & Adam I. Juda, 2007. "Small Worlds and Regional Innovation," Organization Science, INFORMS, vol. 18(6), pages 938-954, December.
    16. Dorso, Claudio O. & Medus, Andrés & Balenzuela, Pablo, 2017. "Vaccination and public trust: A model for the dissemination of vaccination behaviour with external intervention," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 433-443.
    17. repec:plo:pbio00:3000487 is not listed on IDEAS
    18. Xenikos, D.G. & Constantoudis, V., 2023. "Weibull dynamics and power-law diffusion of epidemics in small world 2D networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    19. Floortje Alkemade & Carolina Castaldi, 2005. "Strategies for the Diffusion of Innovations on Social Networks," Computational Economics, Springer;Society for Computational Economics, vol. 25(1), pages 3-23, February.
    20. Shen, Xiaoda & Wang, Zhigang & Deng, Ye & Wu, Jun, 2024. "Spatial network disintegration with heterogeneous cost," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    21. Huo, Liang’an & Song, Naixiang, 2016. "Dynamical interplay between the dissemination of scientific knowledge and rumor spreading in emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 73-84.
    22. Mark Newman, 1999. "Small Worlds: The Structure of Social Networks," Working Papers 99-12-080, Santa Fe Institute.
    23. repec:plo:pcbi00:1002354 is not listed on IDEAS
    24. Shen, Ai-Zhong & Guo, Jin-Li & Wu, Guo-Lin & Jia, Shu-Wei, 2018. "The agglomeration phenomenon influence on the scaling law of the scientific collaboration system," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 461-467.
    25. repec:plo:pone00:0087986 is not listed on IDEAS
    26. I. Vieira & R. Cheng & P. Harper & V. Senna, 2010. "Small world network models of the dynamics of HIV infection," Annals of Operations Research, Springer, vol. 178(1), pages 173-200, July.
    27. Paolo Zeppini & Koen Frenken, 2015. "Networks, Percolation, and Demand," Department of Economics Working Papers 38/15, University of Bath, Department of Economics.

    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:196:y:2025:i:c:s096007792500462x. 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.