We study the stochastic Hindmarsh-Rose neuron model near the “blue sky catastrophe” bifurcation. This specific bifurcation describes a particular type of transition between tonic spiking and bursting oscillations in the considered model. We show that noise can induce the changes of frequency and amplitude characteristics of bursting oscillations in this model. Moreover, in the parameter zone of tonic spiking regime, the increase of the noise intensity can lead to the stochastic generation of bursting oscillations. We perform the analysis of these phenomena on the base of the stochastic sensitivity functions technique and the confidence domains method.Исследование выполнено за счет гранта Российского научного фонда (проект № 16-11-10098)
