IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v192y2025ics0960077925000141.html
   My bibliography  Save this article

Synchronization behavior of memristive FitzHugh-Nagumo neurons in time-varying networks under external stimuli

Author

Listed:
  • Huang, Weifang
  • Wu, Yong
  • Ding, Qianming
  • Jia, Ya
  • Xie, Ying
  • Hu, Yipeng

Abstract

Synchronous firing of neurons is a key mechanism for ensuring coordination between neurons and effective integration of information. Neuronal networks change over time and are influenced by external stimuli, and exploring how these factors affect the synchronization capabilities of the network and their relationship with energy fluctuations is an important issue. This study investigates the synchronization and energy changes of a memristive FitzHugh-Nagumo neuronal network with time-varying topology under external stimuli. The results show that external stimuli affect the synchronization of the network. Larger coupling strength, along with appropriate amplitude and frequency, can effectively drive the network from an asynchronous to a synchronous state. Furthermore, as neurons tend to synchronize, their energy changes become increasingly consistent. The conditions for stable synchronization of the network are analyzed using the master stability function method, confirming the consistency between theoretical and numerical results and revealing the key role of rewiring probability in synchronization. The generality of the results is confirmed by varying network size and average degree. These findings indicate that external stimuli and time-varying topology play crucial roles in regulating collective behaviors in neuronal networks, providing new perspectives and theoretical support for the functional understanding and regulation of the nervous system.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000141
    DOI: 10.1016/j.chaos.2025.116001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925000141
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116001?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. Yang, Feifei & Ma, Jun & Wu, Fuqiang, 2024. "Review on memristor application in neural circuit and network," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    2. Usha, K. & Subha, P. A. & Nayak, Chitra R., 2018. "The route to synchrony via drum head mode and mixed oscillatory state in star coupled Hindmarsh–Rose neural network," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 25-31.
    3. 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.
    4. Yao, Zhao & Sun, Kehui & He, Shaobo, 2024. "Energy variation rate synchronization for coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    5. Ma, Xiaowen & Xu, Ying, 2022. "Taming the hybrid synapse under energy balance between neurons," Chaos, Solitons & Fractals, Elsevier, vol. 159(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. 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).

    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. Chen, Yixuan & Guo, Qun & Zhang, Xiaofeng & Wang, Chunni, 2024. "Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    2. Yang, Feifei & Song, Xinlin & Yu, Zhenhua, 2024. "Dynamics of a functional neuron model with double membranes," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    3. Yu, Zhenhua & Zhu, Kailong & Wang, Ya & Yang, Feifei, 2025. "Dynamics of a neuron with a hybrid memristive ion channel," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    4. Jiang, Donghua & Njitacke, Zeric Tabekoueng & Long, Guoqiang & Awrejcewicz, Jan & Zheng, Mingwen & Cai, Lei, 2024. "Novel Tabu learning neuron model with variable activation gradient and its application to secure healthcare," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    5. 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).
    6. Ji, Yansu & Mao, Xiaochen, 2024. "Fast and slow dynamical behaviors of delayed-coupled thermosensitive neurons under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    7. 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).
    8. Ma, Tao & Mou, Jun & Chen, Wanzhong, 2025. "Dynamics and implementation of a functional neuron model with hyperchaotic behavior under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    9. An, Xinlei & Qiao, Shuai, 2021. "The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    10. Senthamizhan, R. & Gopal, R. & Chandrasekar, V.K., 2025. "Frustration induced chimeras and motion in two dimensional swarmalators," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    11. Guo, Yitong & Xie, Ying & Ma, Jun, 2023. "Nonlinear responses in a neural network under spatial electromagnetic radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    12. 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).
    13. Xie, Ying & Ye, Zhiqiu & Wang, Xueqin & Jia, Ya & Hu, Xueyan & Li, Xuening, 2025. "Temperature effects on the neuronal dynamics and Hamilton energy," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    14. Cao, Hongli & Cao, Yinghong & Qin, Lei & Mou, Jun, 2025. "Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors," Chaos, Solitons & Fractals, Elsevier, vol. 191(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:192:y:2025:i:c:s0960077925000141. 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.