Geodesic
On a modification of the FitzHugh–Nagumo neuron model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 430-449 
S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. On a modification of the FitzHugh–Nagumo neuron model. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 430-449. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_3_a7/
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     title = {On a modification of the {FitzHugh{\textendash}Nagumo} neuron model},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A singularly perturbed system of ordinary differential equations with a fast and a slow variable is proposed, which is a modification of the well-known FitzHugh–Nagumo model from neuroscience. The existence and stability of a nonclassical relaxation cycle in this system are studied. The slow component of the cycle is asymptotically close to a discontinuous function, while the fast component is a $\delta$-like function.

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