IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v669y2025ics0378437125002626.html
   My bibliography  Save this article

Effects of external periodic stimuli and higher-order interactions on the synchronization of Morris-Lecar neurons

Author

Listed:
  • Huang, Weifang
  • Wu, Yong
  • Ding, Qianming
  • Jia, Ya
  • Zhan, Xuan

Abstract

The synchronous behavior of neurons is crucial in information processing and functional execution in the brain. However, how synchronization can be regulated through higher-order interactions and external stimuli remains a key issue in neuroscience. This study investigates the effects of external periodic stimuli and higher-order interactions on the synchronization of Morris-Lecar neurons, focusing on the role of second-order interactions mediated by electrical and chemical synapses. By combining the master stability function and Hamilton energy analysis, the results show that the second-order interactions mediated by both types of synapses significantly enhance synchronization. Appropriate external periodic stimuli can further reduce the required coupling strength for synchronization. In the case of chemical synapses, the network exhibits more complex nonlinear dynamics, and external stimuli may even disrupt synchronization. Moreover, Hamilton energy analysis further reveals the link between energy differences and synchronization. Overall, the findings suggest that intrinsic higher-order interactions and external stimuli jointly determine the synchronization of neurons, providing valuable insights into the synchronization mechanisms of neuronal networks.

Suggested Citation

  • Huang, Weifang & Wu, Yong & Ding, Qianming & Jia, Ya & Zhan, Xuan, 2025. "Effects of external periodic stimuli and higher-order interactions on the synchronization of Morris-Lecar neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 669(C).
    • Handle: RePEc:eee:phsmap:v:669:y:2025:i:c:s0378437125002626
    DOI: 10.1016/j.physa.2025.130610
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125002626
    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.2025.130610?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. Yu, Xihong & Bao, Han & Chen, Mo & Bao, Bocheng, 2023. "Energy balance via memristor synapse in Morris-Lecar two-neuron network with FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 171(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. 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).
    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. 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.
    6. Li, Kezan & Lin, Yingmei & Wang, Junyi, 2024. "Synchronization of multi-directed hypergraphs via adaptive pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    7. Steven M. Reppert & David R. Weaver, 2002. "Coordination of circadian timing in mammals," Nature, Nature, vol. 418(6901), pages 935-941, August.
    8. Fengling Jia & Peiyan He & Lixin Yang, 2024. "A Novel Coupled Memristive Izhikevich Neuron Model and Its Complex Dynamics," Mathematics, MDPI, vol. 12(14), pages 1-17, July.
    9. Yao, Zhao & Sun, Kehui & He, Shaobo, 2024. "Energy variation rate synchronization for coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 184(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. Xie, Ying & Huang, Weifang & Jia, Ya & Ye, Zhiqiu & Wu, Yong, 2024. "Collective behaviors of neural network regulated by the spatially distributed stimuli," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 651(C).
    2. 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).
    3. Dorchain, Marie & Segnou, Wilfried & Muolo, Riccardo & Carletti, Timoteo, 2024. "Impact of directionality on the emergence of Turing patterns on m-directed higher-order structures," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    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. 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.
    6. Xu, Quan & Wang, Yiteng & Chen, Bei & Li, Ze & Wang, Ning, 2023. "Firing pattern in a memristive Hodgkin–Huxley circuit: Numerical simulation and analog circuit validation," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    7. 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).
    8. Hu, Jingting & Bao, Han & Xu, Quan & Chen, Mo & Bao, Bocheng, 2024. "Synchronization generations and transitions in two map-based neurons coupled with locally active memristor," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    9. Bashkirtseva, I. & Ryashko, L., 2024. "Dynamical variability, order-chaos transitions, and bursting Canards in the memristive Rulkov neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    10. Cheng-Kang Chiang & Neel Mehta & Abhilasha Patel & Peng Zhang & Zhibin Ning & Janice Mayne & Warren Y L Sun & Hai-Ying M Cheng & Daniel Figeys, 2014. "The Proteomic Landscape of the Suprachiasmatic Nucleus Clock Reveals Large-Scale Coordination of Key Biological Processes," PLOS Genetics, Public Library of Science, vol. 10(10), pages 1-15, October.
    11. Zhang, Zehui & Zhu, Kangci & Wang, Fang, 2025. "Indirect information propagation model with time-delay effect on multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    12. Krishnagopal, Sanjukta & Bianconi, Ginestra, 2023. "Topology and dynamics of higher-order multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    13. Capucine Rauch, 2024. "The Social Structures of Sleep: Effects of Work-Related and Family Constraints on Sleep Duration and Regularity Among French Workers," Sociological Research Online, , vol. 29(3), pages 729-749, September.
    14. Manoj C. Warambhe & Prashant M. Gade, 2025. "Is directed percolation class for synchronization transition robust with multi-site interactions?," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(4), pages 1-12, April.
    15. Guo, Yitong & Wang, Chunni & Ma, Jun, 2024. "Jointed pendulums driven by a neural circuit, electromechanical arm model approach," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    16. Lamata-Otín, Santiago & Reyna-Lara, Adriana & Gómez-Gardeñes, Jesús, 2024. "Integrating Virtual and Physical Interactions through higher-order networks to control epidemics," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    17. Valerie L Harbour & Yuval Weigl & Barry Robinson & Shimon Amir, 2013. "Comprehensive Mapping of Regional Expression of the Clock Protein PERIOD2 in Rat Forebrain across the 24-h Day," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-14, October.
    18. repec:plo:pone00:0025382 is not listed on IDEAS
    19. O. Slaby & S. Sager & O. S. Shaik & U. Kummer & D. Lebiedz, 2007. "Optimal control of self-organized dynamics in cellular signal transduction," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 13(5), pages 487-502, October.
    20. Senthamizhan, R. & Gopal, R. & Chandrasekar, V.K., 2025. "Frustration induced chimeras and motion in two dimensional swarmalators," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    21. Li Zhang & Wuyin Jin & Guolong Chen, 2025. "Amplitude control and offset boosting of motion in the neuron-driven mechanical arm," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(4), pages 1-13, April.

    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:669:y:2025:i:c:s0378437125002626. 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.