Noise-induced toroidal excitability in neuron model

摘要

We study the stochastic Hindmarsh-Rose neuron model in the torus canards region of the parameter space. We show that noise can transform the torus canard into the large amplitude torus. This corresponds to the noise-induced transition from amplitude-modulated spiking regime to the bursting one. This phenomenon is confirmed by qualitative changes of both amplitude and frequency characteristics. We investigate this phenomenon with the help of interspike intervals statistics. The onset of noise-induced spiking-bursting transition is accompanied by the increase of the mean values of interspike intervals. Moreover, the anti-coherence resonance reflecting the growth of variability of interspike intervals is observed. On the contrary, the distribution of burst duration values for noise-generated bursting oscillations shows the coherence resonance. We suggest an explanation for the observed stochastic phenomena by the specificity of the deterministic portrait and the high excitability of the system in the zone of torus canards. (C) 2019 Elsevier B.V. All rights reserved.