IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v651y2024ics0378437124005466.html

Collective behaviors of neural network regulated by the spatially distributed stimuli

Author

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

Abstract

Most external stimuli, including sound, temperature, and illumination, exhibit spatially heterogeneous, and different amplitudes of the same signal are received by neurons at different positions in the neural network. To address this issue, we constructed a grid-like neural network using memristive FitzHugh-Nagumo neurons. The neuronal responses depend on the spatially distributed stimuli, with the stimulus amplitudes being determined by the distance from the central area. Consequently, complete synchronization occurs in the network comprising periodic neurons, chaotic neurons, and their hybrid forms. Periodic patterns maintain the highest Hamilton energy whereas the lowest Hamilton energy appears in chaotic neurons. In a network consisting of chaotic neurons, the synchronization threshold is larger compared to the other types. In particular, the periodic neurons with the highest energy oscillations can regulate the low-energy chaotic neurons into periodic patterns. Similar conclusions are drawn in a chain-like network. The results advance the understanding of the synchronization mechanisms in the presence of spatial heterogeneity.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:651:y:2024:i:c:s0378437124005466
    DOI: 10.1016/j.physa.2024.130037
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124005466
    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.2024.130037?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. Xie, Ying & Zhou, Ping & Yao, Zhao & Ma, Jun, 2022. "Response mechanism in a functional neuron under multiple stimuli," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    2. Ding, Qianming & Wu, Yong & Hu, Yipeng & Liu, Chaoyue & Hu, Xueyan & Jia, Ya, 2023. "Tracing the elimination of reentry spiral waves in defibrillation: Temperature effects," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Yao, Zhao & Sun, Kehui & Wang, Huihai, 2024. "Collective behaviors of fractional-order FithzHugh–Nagumo network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    4. 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.
    5. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lei, Zhao & Zhang, Zixuan & Guo, Qun & Zhu, Zhigang, 2026. "A double–membrane neuron and circuit containing a memcapacitor," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    2. Tang, Yirui & Cheng, Ziyi & Zhou, Xiuying & Jiang, Long & Pei, Qiming & Yu, Dong, 2026. "Edge of chaos shapes synchronization transitions and critical slowing down in coupled auditory neurons," Chaos, Solitons & Fractals, Elsevier, vol. 205(C).
    3. Irankhah, Reza & Mehrabbeik, Mahtab & Parastesh, Fatemeh & Ghassemi, Farnaz & Jafari, Sajad & Chen, Guanrong & Kurths, Jürgen, 2026. "Network Synchronization with an Adaptive Blinking Coupling Scheme: Topological and Dynamical Generalization," Applied Mathematics and Computation, Elsevier, vol. 513(C).
    4. 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).
    5. Chunni Wang & Binchi Wang & Zhao Lei & Jun Ma, 2026. "A physical approach to local energy injection control of neural networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 99(3), pages 1-16, March.

    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. Yao, Zhao & Wang, Lidan & Duan, Shukai, 2025. "Response mechanism of the auditory FitzHugh–Nagumo neuron," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    2. 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).
    3. Tang, Yirui & Cheng, Ziyi & Zhou, Xiuying & Jiang, Long & Pei, Qiming & Yu, Dong, 2026. "Edge of chaos shapes synchronization transitions and critical slowing down in coupled auditory neurons," Chaos, Solitons & Fractals, Elsevier, vol. 205(C).
    4. 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).
    5. El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2024. "Spiral waves in fractal dimensions and their elimination in λ − ω systems with less damaging intervention," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    6. Wang, Yanfeng & Su, Pengke & Wang, Zicheng & Sun, Junwei, 2025. "Dynamic analysis of high dimensional HNN with logistic-based memristors and application in military image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    7. Hu, Yi-peng & Ding, Qian-ming & Wu, Yong & Yu, Dong & Li, Tian-yu & Jia, Ya, 2026. "Unpinning and elimination of spiral waves: A machine learning-based method," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    8. He, Wenjing & Luo, Maokang & Zhang, Lu, 2026. "Fractional-order FitzHugh–Nagumo dynamics: From single-neuron stability bifurcations to synchronization in small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 688(C).
    9. Njitacke, Zeric Tabekoueng & Ramadoss, Janarthanan & Takembo, Clovis Ntahkie & Rajagopal, Karthikeyan & Awrejcewicz, Jan, 2023. "An enhanced FitzHugh–Nagumo neuron circuit, microcontroller-based hardware implementation: Light illumination and magnetic field effects on information patterns," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    10. Hu, Yipeng & Ding, Qianming & Wu, Yong & Jia, Ya, 2023. "Polarized electric field-induced drift of spiral waves in discontinuous cardiac media," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    11. Wang, Chunhua & Li, Yufei & Deng, Quanli, 2025. "Discrete-time fractional-order local active memristor-based Hopfield neural network and its FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    12. Qiao, Shuai & Gao, Chenghua & An, Xinlei, 2026. "Spatiotemporal dynamics of a non-smooth reaction–diffusion Wilson neuron model with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 239(C), pages 1026-1049.
    13. 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).
    14. Ding, Qianming & Hu, Yipeng & Wu, Yong & Hu, Xueyan & Jia, Ya & Yang, Lijian, 2025. "Elimination of reentry spiral waves using adaptive optogenetical illumination based on dynamic learning techniques," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    15. Debnath, Sajal & Kundu, Santimoy, 2026. "Spiral wave analysis in bidirectional Hindmarsh–Rose neurons with nonlinear coupling and dynamical control through external magnetic induction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 683(C).
    16. Yao, Zhao & Sun, Kehui & He, Shaobo, 2024. "Energy variation rate synchronization for coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    17. Yang, Feifei & Song, Xinlin & Yu, Zhenhua, 2024. "Dynamics of a functional neuron model with double membranes," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    18. Nezhad Hajian, Dorsa & Parastesh, Fatemeh & Jafari, Sajad & Perc, Matjaž & Klemenčič, Eva, 2024. "Medium inhomogeneities modulate emerging spiral waves," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    19. 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).
    20. Qu, Lianghui & Du, Lin & Zhang, Honghui & Deng, Zichen, 2026. "Constrained drift and splitting transition of electromagnetically regulated spiral waves," Chaos, Solitons & Fractals, Elsevier, vol. 204(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:651:y:2024:i:c:s0378437124005466. 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.