# On the Fitzhugh-Nagumo model

Source: [On the Fitzhugh-Nagumo model](<https://www.sota2.com/research/paper/68fa4f961e209131ce9643ec>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:21:47.234Z

Authors: M. De Angelis, P. Renno

Published: 2012-02-26T17:28:02.000Z

## Abstract

The initial value problem P0, in all of the space, for the spatio - temporal FitzHugh - Nagumo equations is analyzed. When the reaction kinetics of the model can be outlined by means of piecewise linear approximations, then the solution of P0 is explicitly obtained. For periodic initial data are possible damped travelling waves and their speed of propagation is evaluated. The results imply applications also to the non linear case.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1202.5783>)

[PDF](<https://arxiv.org/pdf/1202.5783.pdf>)