Geodesic
Transitory Shift in the FitzHugh–Nagumo Model
Russian journal of nonlinear dynamics, Tome 14 (2018) no. 2, pp. 169-177

Voir la notice de l'article provenant de la source Math-Net.Ru

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, attractors.
Mots-clés : limit cycles 
@article{ND_2018_14_2_a1,
     author = {K. E. Morozov},
     title = {Transitory {Shift} in the {FitzHugh{\textendash}Nagumo} {Model}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {169--177},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2018_14_2_a1/}
}
TY  - JOUR
AU  - K. E. Morozov
TI  - Transitory Shift in the FitzHugh–Nagumo Model
JO  - Russian journal of nonlinear dynamics
PY  - 2018
SP  - 169
EP  - 177
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2018_14_2_a1/
LA  - en
ID  - ND_2018_14_2_a1
ER  - 
%0 Journal Article
%A K. E. Morozov
%T Transitory Shift in the FitzHugh–Nagumo Model
%J Russian journal of nonlinear dynamics
%D 2018
%P 169-177
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2018_14_2_a1/
%G en
%F ND_2018_14_2_a1
K. E. Morozov. Transitory Shift in the FitzHugh–Nagumo Model. Russian journal of nonlinear dynamics, Tome 14 (2018) no. 2, pp. 169-177. http://geodesic.mathdoc.fr/item/ND_2018_14_2_a1/