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Inverse chaotic resonance in Hodgkin–Huxley neuronal system

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Abstract

Inverse chaotic resonance is a phenomenon in which the neuronal mean firing rate exhibits a minimum with respect to the chaotic activity. In this paper, the inverse chaotic resonance phenomenon is investigated in the case of a single Hodgkin–Huxley neuron and a Hodgkin–Huxley neuronal small-world network, respectively. It is found that the inverse chaotic resonance can be modulated by the neuronal excitation level, and the duration of the inverse chaotic resonance is longer near the excitation threshold. Furthermore, we investigated the effect of chaotic activity on the collective discharge behavior of the small-world network. We find that the emergence of inverse chaotic resonance depends on the interplay between each neuron’s excitation level, chaotic activity, and network inputs, where the latter in turn depend on types of synaptic currents. The inverse chaotic resonance effect is a robust phenomenon that is observed in both individual neurons and neuronal networks.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data are included in the paper.]

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant no.12175080.

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Authors and Affiliations

  1. Department of Physics, Central China Normal University, Wuhan, 430079, China

    Dong Yu, Yong Wu, Zhiqiu Ye, Fangli Xiao & Ya Jia

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  1. Dong Yu
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  2. Yong Wu
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Correspondence to Ya Jia.

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Yu, D., Wu, Y., Ye, Z. et al. Inverse chaotic resonance in Hodgkin–Huxley neuronal system. Eur. Phys. J. Spec. Top. 231, 4097–4107 (2022). https://doi.org/10.1140/epjs/s11734-022-00629-z

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