Geodesic
Relaxation cycles of the generalized pulsed neuron equation
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 106-115

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

In the paper we analyze the generalized model of the V. V. Mayorov and I. Yu. Myshkin pulsed neuron. The neuron equation contains a delay of the sodium conductance with respect to the transmembrane potential as well as the potassium one. We proved the exisence and stability of the periodic solution and obtained its asymptotic expansion.
Keywords: relaxation oscillations; pulsed neuron; differential-difference equation; asymptotic analysis. 
@article{MAIS_2011_18_1_a9,
     author = {I. V. Paramonov},
     title = {Relaxation cycles of the generalized pulsed neuron equation},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {106--115},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a9/}
}
TY  - JOUR
AU  - I. V. Paramonov
TI  - Relaxation cycles of the generalized pulsed neuron equation
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2011
SP  - 106
EP  - 115
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a9/
LA  - ru
ID  - MAIS_2011_18_1_a9
ER  - 
%0 Journal Article
%A I. V. Paramonov
%T Relaxation cycles of the generalized pulsed neuron equation
%J Modelirovanie i analiz informacionnyh sistem
%D 2011
%P 106-115
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a9/
%G ru
%F MAIS_2011_18_1_a9
I. V. Paramonov. Relaxation cycles of the generalized pulsed neuron equation. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 106-115. http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a9/