Geodesic
Stability of the neuron model based on the equation with delay
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 27-29 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We analyze the periodical solution of a differential equation with delay describing the neuron-autogenerator dynamics. The stability of the periodical solution of the equation with certain parameters is investigated. 
@article{MAIS_2007_14_2_a5,
     author = {Yu. V. Bogomolov},
     title = {Stability of the neuron model based on the equation with delay},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {27--29},
     year = {2007},
     volume = {14},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a5/}
}
TY  - JOUR
AU  - Yu. V. Bogomolov
TI  - Stability of the neuron model based on the equation with delay
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2007
SP  - 27
EP  - 29
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a5/
LA  - ru
ID  - MAIS_2007_14_2_a5
ER  - 
%0 Journal Article
%A Yu. V. Bogomolov
%T Stability of the neuron model based on the equation with delay
%J Modelirovanie i analiz informacionnyh sistem
%D 2007
%P 27-29
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a5/
%G ru
%F MAIS_2007_14_2_a5
Yu. V. Bogomolov. Stability of the neuron model based on the equation with delay. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 27-29. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a5/

[1] V. V. Maiorov, I. Yu. Myshkin, “Matematicheskoe modelirovanie neironov na osnove uravnenii s zapazdyvaniem”, Matematicheskoe modelirovanie, 2:11 (1990), 64–76 | MR

[2] S. A. Kaschenko, V. V. Maiorov, “Issledovanie differentsialno-raznostnykh uravnenii, modeliruyuschikh impulsnuyu aktivnost neirona”, Matematicheskoe modelirovanie, 5:12 (1993), 13–25 | MR

[3] B. P. Demidovich, Lektsii po matematicheskoi teorii ustoichivosti, Nauka, M., 1967, 472 pp. | MR