Relaxation cycles of the generalized pulsed neuron equation

Relaxation cycles of the generalized pulsed neuron equation

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...

Full description

Bibliographic Details
Main Author: I. V. Paramonov
Format: Article
Language:English
Published: Yaroslavl State University 2011-03-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
relaxation oscillations
pulsed neuron
differential-difference equation
asymptotic analysis
Online Access:https://www.mais-journal.ru/jour/article/view/1080
Description
Summary: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.
ISSN:1818-1015
2313-5417

Similar Items