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.

Keywords

• релаксационные колебания
• импульсный нейрон
• уравнение с запаздыванием
• асимптотический анализ