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Lévy noise-induced coherence resonance in neural maps

Author

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  • 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
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    References listed on IDEAS

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    1. Wang, Zhanqing & Gao, Yu & Zaikin, Alexey & Li, Hua & Xu, Yong, 2025. "System-size coherence resonance in coupled FHN neurons with α-stable Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).

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