Relaxation cycles of the generalized pulsed neuron equation
Abstract
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.
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.
About the Author
I. V. Paramonov
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
References
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2. Глызин С. Д. Релаксационные колебания электрически связанных нейроподобных осцилляторов с запаздыванием // Моделирование и анализ информационных систем. 2010. Т. 17, № 2. С. 28-47.
3. Колесов А. Ю., Мищенко Е. Ф., Розов Н. Х. Реле с запаздыванием и его C^1- аппроксимация // Труды МИАН. 1997. Т. 216. С. 126-153.
Review
For citations:
Paramonov I.V. Relaxation cycles of the generalized pulsed neuron equation. Modeling and Analysis of Information Systems. 2011;18(1):106-115. (In Russ.)
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