Stochastic dynamics of the FitzHugh-Nagumo neuron model through a modified van der Pol equation with fractional-order term and Gaussian white noise excitation

DOI10.3934/dcdss.2020397zbMath1485.92026OpenAlexW3041439288MaRDI QIDQ2056501

Boris Anicet Guimfack, Alidou Mohamadou, Timoléon Créprin Kofané, Conrad Bertrand Tabi

Publication date: 8 December 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020397

zbMATH Keywords

stochastic averaging methodvan der Pol equationFitzHugh-Nagumo modelfractional-order derivativeequivalent stochastic equation

Mathematics Subject Classification ID

Neural biology (92C20) Fractional derivatives and integrals (26A33) Biological rhythms and synchronization (92B25)

Related Items (2)

Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion ⋮ On stochastic response of fractional-order generalized birhythmic van der Pol oscillator subjected to delayed feedback displacement and Gaussian white noise excitation

Cites Work

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