TY - JOUR
T1 - Stochastic dynamics of the fitzhugh-nagumo neuron model through a modified van der pol equation with fractional-order term and gaussian white noise excitation
AU - Guimfack, Boris Anicet
AU - Tabi, Conrad Bertrand
AU - Mohamadou, Alidou
AU - Kofané, Timoléon Crépin
N1 - Funding Information:
The work of CBT was supported by the Botswana International University of Science and Technology under the grant DVC/RDI/2/1/16I (25). CBT thanks the Kavli Institute for Theoretical Physics (KITP), University of California Santa Barbara (USA), where this work was supported in part by the National Science Foundation Grant no.NSF PHY-1748958 and NIH Grant no.R25GM067110. ∗ Corresponding author: [email protected] (C. B. Tabi).
Publisher Copyright:
© 2021 American Institute of Mathematical Sciences. All rights reserved.
PY - 2021/7
Y1 - 2021/7
N2 - The stochastic response of the FitzHugh-Nagumo model is addressed using a modified Van der Pol (VDP) equation with fractional-order derivative and Gaussian white noise excitation. Via the generalized harmonic balance method, the term related to fractional derivative is splitted into the equivalent quasi-linear dissipative force and quasi-linear restoring force, leading to an equivalent VDP equation without fractional derivative. The analytical solutions for the equivalent stochastic equation are then investigated through.
AB - The stochastic response of the FitzHugh-Nagumo model is addressed using a modified Van der Pol (VDP) equation with fractional-order derivative and Gaussian white noise excitation. Via the generalized harmonic balance method, the term related to fractional derivative is splitted into the equivalent quasi-linear dissipative force and quasi-linear restoring force, leading to an equivalent VDP equation without fractional derivative. The analytical solutions for the equivalent stochastic equation are then investigated through.
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U2 - 10.3934/DCDSS.2020397
DO - 10.3934/DCDSS.2020397
M3 - Article
AN - SCOPUS:85109067082
SN - 1937-1632
VL - 14
SP - 2229
EP - 2243
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 7
ER -