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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2021 Volume 113, Issue 6, Pages 415–420 (Mi jetpl6392)

This article is cited in 4 papers

NONLINEAR DYNAMICS

Parametrically excited chaotic spike sequences and information aspects in an ensemble of Fitzhugh–Nagumo neurons

D. S. Shchapinab, V. I. Nekorkinba

a Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, 603950 Russia
b Scientific Educational Mathematical Center Mathematics of Future Technologies, Nizhny Novgorod, 603950 Russia

Abstract: 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.

Received: 04.12.2020
Revised: 08.02.2021
Accepted: 08.02.2021

DOI: 10.31857/S1234567821060094


 English version:
Journal of Experimental and Theoretical Physics Letters, 2021, 113:6, 418–422

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© Steklov Math. Inst. of RAS, 2024