Анализ индуцированных шумом явлений в модели Рулькова

Abstract

We study the nonlinear discrete Rulkov neuron model under the influence of random disturbances. We show that an increase of the noise intensity results in the noise-induced transitions from the quiescence and the tonic spiking regimes to the bursting one. The stochastic sensitivity functions technique and the confidence ellipses method are used for the analysis of these phenomena. The threshold values of the noise intensity are estimated by these techniques.