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Nelin. Dinam., 2018, Volume 14, Number 2, Pages 169–177 (Mi nd605)  

Transitory Shift in the FitzHugh–Nagumo Model

K. E. Morozov

Lobachevsky State University of Nizhny Novgorod, prosp. Gagarina 23, Nizhny Novgorod, 603950, Russia

Abstract: A nonautonomous analogue of the FitzHugh–Nagumo model is considered. It is supposed that the system is transitory, i.e., it is autonomous except on some compact interval of time. We first study the past and future vector fields that determine the system outside the interval of time dependence. Then we build the transition map numerically and discuss the influence of the transitory shift on the solutions behavior.

Keywords: FitzHugh–Nagumo model, transitory system, separatrix, limit cycles, attractors

Funding Agency Grant Number
Russian Foundation for Basic Research 18-01-00306
16-01-00364
This work was supported in part by the Russian Foundation for Basic Research under grants no. 18-01-00306 and no. 16-01-00364.


DOI: https://doi.org/10.20537/nd180202

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MSC: 34C15
Received: 09.02.2018
Accepted:11.05.2018
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Citation: K. E. Morozov, “Transitory Shift in the FitzHugh–Nagumo Model”, Nelin. Dinam., 14:2 (2018), 169–177

Citation in format AMSBIB
\Bibitem{Mor18}
\by K. E. Morozov
\paper Transitory Shift in the FitzHugh–Nagumo Model
\jour Nelin. Dinam.
\yr 2018
\vol 14
\issue 2
\pages 169--177
\mathnet{http://mi.mathnet.ru/nd605}
\crossref{https://doi.org/10.20537/nd180202}
\elib{http://elibrary.ru/item.asp?id=35417123}


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