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Parametrically Excited Chaotic Spike Sequences and Information Aspects in an Ensemble of FitzHugh–Nagumo Neurons

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The effect of a parametric change in the excitation threshold on processes of generation of the spike activity in an ensemble of FitzHugh–Nagumo neurons has been analyzed. It has been shown that the periodic change in the excitation threshold results in the existence of chaotic regimes of generation of the spike activity with various statistical properties. It has been found that chaos in the model of an individual neuron appears through Pomeau–Manneville intermittence. It has been shown that the information characteristics of the neuron can be controlled by varying the modulation depth and the frequency of parametric action. It has been found that chaotic spike sequences forming fractal-like spatiotemporal patterns appear when neurons are joined in an ensemble.

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Funding

This work was supported by the Russian Science Foundation (project no. 19-12-00338).

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia

    D. S. Shchapin & V. I. Nekorkin

  2. Scientific Educational Mathematical Center Mathematics of Future Technologies, 603950, Nizhny Novgorod, Russia

    D. S. Shchapin & V. I. Nekorkin

Authors
  1. D. S. Shchapin
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  2. V. I. Nekorkin
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Correspondence to D. S. Shchapin.

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Translated by R. Tyapaev

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Shchapin, D.S., Nekorkin, V.I. Parametrically Excited Chaotic Spike Sequences and Information Aspects in an Ensemble of FitzHugh–Nagumo Neurons. Jetp Lett. 113, 418–422 (2021). https://doi.org/10.1134/S0021364021060114

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  • DOI: https://doi.org/10.1134/S0021364021060114

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