IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v651y2024ics0378437124005466.html
   My bibliography  Save this article

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 search for a different version of it.

    References listed on IDEAS

    as
    1. 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).
    2. 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).
    3. 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).
    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)

    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. 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).
    2. 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).
    3. 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).
    4. 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).
    5. Yao, Zhao & Sun, Kehui & He, Shaobo, 2024. "Energy variation rate synchronization for coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    6. Yang, Feifei & Song, Xinlin & Yu, Zhenhua, 2024. "Dynamics of a functional neuron model with double membranes," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    7. 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).
    8. 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).
    9. Wang, Xueqin & Yu, Dong & Li, Tianyu & Jia, Ya, 2023. "Logistic stochastic resonance in the Hodgkin–Huxley neuronal system under electromagnetic induction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    10. Sebastian, Anupama & Sibeesh, Puthiyapurayil & Amrutha, S.V. & Punacha, Shreyas & Shajahan, T.K., 2024. "Effect of electric field chirality on the unpinning of chemical waves in the Belousov–Zhabotinsky reaction," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    11. Rajagopal, Karthikeyan & Nezhad Hajian, Dorsa & Natiq, Hayder & Peng, Yuexi & Parastesh, Fatemeh & Jafari, Sajad, 2024. "Effect of Gaussian gradient in the medium's action potential morphology on spiral waves," Applied Mathematics and Computation, Elsevier, vol. 470(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: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.