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.

MSC: 34C15

Received: 09.02.2018
Accepted: 11.05.2018

Language: English

DOI: 10.20537/nd180202

Bibliographic databases:

• 
•