Discrete autowaves in neural systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 840-858
Voir la notice de l'article provenant de la source Math-Net.Ru
A singularly perturbed scalar nonlinear differential-difference equation with two delays is considered that is a mathematical model of an isolated neuron. It is shown that a one-dimensional chain of diffusively coupled oscillators of this type exhibits the well-known buffer phenomenon. Specifically, as the number of chain links increases consistently with decreasing diffusivity, the number of coexisting stable periodic motions in the chain grows indefinitely.
@article{ZVMMF_2012_52_5_a7,
author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
title = {Discrete autowaves in neural systems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {840--858},
publisher = {mathdoc},
volume = {52},
number = {5},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a7/}
}
TY - JOUR AU - S. D. Glyzin AU - A. Yu. Kolesov AU - N. Kh. Rozov TI - Discrete autowaves in neural systems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 840 EP - 858 VL - 52 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a7/ LA - ru ID - ZVMMF_2012_52_5_a7 ER -
S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Discrete autowaves in neural systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 840-858. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a7/