Fronts in subdiffusive FitzHugh-Nagumo systems

A. A. Nepomnyashchy; V. A. Volpert

doi:10.1051/mmnp/2019036

Fronts in subdiffusive FitzHugh-Nagumo systems

A. A. Nepomnyashchy, V. A. Volpert^*

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Front solutions of subdiffusive FitzHugh-Nagumo equations are studied for a piece-wise linear nonlinearity. Multiple solutions of the problem and the dependence of the propagation velocity on the parameters are discussed.

Original language	English (US)
Article number	504
Journal	Mathematical Modelling of Natural Phenomena
Volume	14
Issue number	5
DOIs	https://doi.org/10.1051/mmnp/2019036
State	Published - 2019

Funding

This work has been partially supported by the US-Israel Binational Science Foundation (grant No. This work has been partially supported by the US-Israel Binational Science Foundation (grant No. 2016322).

Keywords

Exact solution
FitzHugh-Nagumo equations
Subdiffusion
Traveling wave

ASJC Scopus subject areas

Modeling and Simulation

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10.1051/mmnp/2019036

Cite this

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title = "Fronts in subdiffusive FitzHugh-Nagumo systems",

abstract = "Front solutions of subdiffusive FitzHugh-Nagumo equations are studied for a piece-wise linear nonlinearity. Multiple solutions of the problem and the dependence of the propagation velocity on the parameters are discussed.",

keywords = "Exact solution, FitzHugh-Nagumo equations, Subdiffusion, Traveling wave",

author = "Nepomnyashchy, {A. A.} and Volpert, {V. A.}",

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AU - Nepomnyashchy, A. A.

AU - Volpert, V. A.

N1 - Publisher Copyright: © EDP Sciences, 2019.

PY - 2019

Y1 - 2019

N2 - Front solutions of subdiffusive FitzHugh-Nagumo equations are studied for a piece-wise linear nonlinearity. Multiple solutions of the problem and the dependence of the propagation velocity on the parameters are discussed.

AB - Front solutions of subdiffusive FitzHugh-Nagumo equations are studied for a piece-wise linear nonlinearity. Multiple solutions of the problem and the dependence of the propagation velocity on the parameters are discussed.

KW - Exact solution

KW - FitzHugh-Nagumo equations

KW - Subdiffusion

KW - Traveling wave

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Fronts in subdiffusive FitzHugh-Nagumo systems

Abstract

Funding

Keywords

ASJC Scopus subject areas

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