Geodesic
Noise-induced large amplitude oscillations in the Morris–Lecar neuron model with class 1 excitability
Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 327-340

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

We consider the Morris–Lecar neuron model with a parameter set corresponding to class 1 excitability. We study the effect of random disturbances on the model in the parametric zone where the only attractor of the deterministic system is a stable equilibrium. We show that under noise the stochastic generation of large amplitude oscillations occurs in the system. This phenomenon is confirmed by changes in distributions of random trajectories and interspike intervals. This effect is analyzed using the stochastic sensitivity function technique and the method of confidence domains. We suggest a criterion for the estimation of threshold values of noise intensity leading to the stochastic generation of oscillations.
Keywords: Morris–Lecar model, excitability, stochastic generation of large amplitude oscillations, stochastic sensitivity
Mots-clés : bifurcations. 
@article{ND_2016_12_3_a2,
     author = {E. S. Slepukhina},
     title = {Noise-induced large amplitude oscillations in the {Morris{\textendash}Lecar} neuron model with class 1 excitability},
     journal = {Russian journal of nonlinear dynamics},
     pages = {327--340},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2016_12_3_a2/}
}
TY  - JOUR
AU  - E. S. Slepukhina
TI  - Noise-induced large amplitude oscillations in the Morris–Lecar neuron model with class 1 excitability
JO  - Russian journal of nonlinear dynamics
PY  - 2016
SP  - 327
EP  - 340
VL  - 12
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2016_12_3_a2/
LA  - ru
ID  - ND_2016_12_3_a2
ER  - 
%0 Journal Article
%A E. S. Slepukhina
%T Noise-induced large amplitude oscillations in the Morris–Lecar neuron model with class 1 excitability
%J Russian journal of nonlinear dynamics
%D 2016
%P 327-340
%V 12
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2016_12_3_a2/
%G ru
%F ND_2016_12_3_a2
E. S. Slepukhina. Noise-induced large amplitude oscillations in the Morris–Lecar neuron model with class 1 excitability. Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 327-340. http://geodesic.mathdoc.fr/item/ND_2016_12_3_a2/