Noise-Induced Quasi-Periodic Oscillations in Hindmarsh-Rose Neuron Model

摘要

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 quiescent regime in this model transforms into the quasi-periodic (bursting) one with the formation of the stochastic torus. This phenomenon is confirmed by changes in the probability distribution of random trajectories and by the interspike intervals statistics. We show that the emergence of the torus bursting oscillations is related to the peculiarities of the geometrical arrangement of deterministic trajectories near the equilibrium and its stochastic sensitivity.