Индуцированные шумом квазипериодические осцилляции в модели нейрона Хиндмарш-Роуз

Abstract

We study the phenomenon of noise-induced quasi-periodic oscillations in the stochastic Hindmarsh-Rose neuron model. We show that with the increase of the noise intensity the periodic regime in this model transforms into the quasi-periodic one with the formation of the stochastic torus. We perform the analysis of this phenomenon on the base of the stochastic sensitivity functions technique and the confidence domains method.