Geodesic
On a modification of the FitzHugh–Nagumo neuron model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 430-449
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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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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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