IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v186y2024ics0960077924007628.html
   My bibliography  Save this article

Lévy noise-induced coherence resonance in neural maps

Author

Listed:
  • Rybalova, E.
  • Ryabov, A.
  • Muni, S.
  • Strelkova, G.

Abstract

In this contribution, we investigate coherence resonance in map-based neural models in the presence of Lévy noise. The impact of different parameters of Lévy noise on the oscillatory activity is analyzed for several neural maps, including the Rulkov map, the Chialvo map, and the Courbage–Nekorkin–Vdovin map. We demonstrate that the coherence of noise-excited oscillations decreases as the stability index decreases. On the other hand, changing the skewness parameter can both reduce and, conversely, enhance coherence. We also explore and establish the peculiarities of coherence resonance in the neural maps under study depending on the Lévy noise parameters.

Suggested Citation

  • Rybalova, E. & Ryabov, A. & Muni, S. & Strelkova, G., 2024. "Lévy noise-induced coherence resonance in neural maps," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007628
    DOI: 10.1016/j.chaos.2024.115210
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924007628
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115210?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. Jin, Yanfei & Hu, Haiyan, 2007. "Coherence and stochastic resonance in a delayed bistable system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 423-429.
    2. Masoliver, Maria & Masoller, Cristina & Zakharova, Anna, 2021. "Control of coherence resonance in multiplex neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Korneev, Ivan & Zakharova, Anna & Semenov, Vladimir V., 2024. "Lévy noise-induced coherence resonance: Numerical study versus experiment," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    4. Raoul Mbakob Yonkeu & René Yamapi & Giovanni Filatrella & Jürgen Kurths, 2020. "Can Lévy noise induce coherence and stochastic resonances in a birhythmic van der Pol system?," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(8), pages 1-14, August.
    5. Stankevich, N.V. & Gonchenko, A.S. & Popova, E.S. & Gonchenko, S.V., 2023. "Complex dynamics of the simplest neuron model: Singular chaotic Shilnikov attractor as specific oscillatory neuron activity," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    6. Ma, Jun, 2024. "Energy function for some maps and nonlinear oscillators," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    7. Gilardi-Velázquez, H.E. & Echenausía-Monroy, J.L. & Jaimes-Reátegui, R. & García-López, J.H. & Campos, Eric & Huerta-Cuellar, G., 2022. "Deterministic coherence resonance analysis of coupled chaotic oscillators: fractional approach," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    8. 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).
    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. 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).
    2. Korneev, Ivan & Zakharova, Anna & Semenov, Vladimir V., 2024. "Lévy noise-induced coherence resonance: Numerical study versus experiment," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    3. Mbakob Yonkeu, R. & David, Afungchui, 2022. "Coherence and stochastic resonance in the fractional-birhythmic self-sustained system subjected to fractional time-delay feedback and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    4. Echenausía-Monroy, J.L. & Gilardi-Velázquez, H.E. & Wang, Ning & Jaimes-Reátegui, R. & García-López, J.H. & Huerta-Cuellar, G., 2022. "Multistability route in a PWL multi-scroll system through fractional-order derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Guo, Lei & Liu, Chengjun & Wu, Youxi & Xu, Guizhi, 2023. "fMRI-based spiking neural network verified by anti-damage capabilities under random attacks," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    6. Hui, Nirmalendu & Biswas, Debabrata & Bandyopadhyay, Biswabibek & Chakraborty, Meenakshi & Banerjee, Tanmoy, 2024. "Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    7. Zhang, Jianlin & Bao, Han & Yu, Xihong & Chen, Bei, 2024. "Heterogeneous coexistence of extremely many attractors in adaptive synapse neuron considering memristive EMI," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    8. Emanuel Guariglia & Rodrigo C. Guido & Gabriel J. P. Dalalana, 2023. "From Wavelet Analysis to Fractional Calculus: A Review," Mathematics, MDPI, vol. 11(7), pages 1-12, March.
    9. Feifei Yang & Xikui Hu & Guodong Ren & Jun Ma, 2023. "Synchronization and patterns in a memristive network in noisy electric field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-14, June.
    10. Akhmet, Marat & Başkan, Kağan & Yeşil, Cihan, 2024. "Markovian noise-induced delta synchronization approach for Hindmarsh–Rose model," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    11. Yao, Zhao & Sun, Kehui & He, Shaobo, 2024. "Energy variation rate synchronization for coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    12. Ma, Jun & Guo, Yitong, 2024. "Model approach of electromechanical arm interacted with neural circuit, a minireview," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    13. Zhang, Shaohua & Wang, Cong & Zhang, Hongli & Lin, Hairong, 2024. "Collective dynamics of adaptive memristor synapse-cascaded neural networks based on energy flow," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    14. Shao, Yan & Wu, Fuqiang & Wang, Qingyun, 2024. "Dynamics and stability of neural systems with indirect interactions involved energy levels," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    15. Guo, Feng & Wang, Xue-Yuan & Zhu, Cheng-Yin & Cheng, Xiao-Feng & Zhang, Zheng-Yu & Huang, Xu-Hui, 2017. "Stochastic multiresonance for a fractional linear oscillator with time-delayed kernel and quadratic noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 205-214.
    16. Yonkeu, R. Mbakob, 2023. "Stochastic bifurcations induced by Lévy noise in a fractional trirhythmic van der Pol system," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    17. Kuznetsov, A.P. & Sedova, Y.V. & Stankevich, N.V., 2024. "Dynamics of non–identical coupled Chialvo neuron maps," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    18. You, Pinlong & Lin, Lifeng & Wang, Huiqi, 2020. "Cooperative mechanism of generalized stochastic resonance in a time-delayed fractional oscillator with random fluctuations on both mass and damping," Chaos, Solitons & Fractals, Elsevier, vol. 135(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:186:y:2024:i:c:s0960077924007628. 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.