GWN-induced bursting, spiking, and random subthreshold impulsing oscillation before hopf bifurcations in the chay model

Gaussian white noise (GWN), as an intrinsic noise source can give rise to various firing activities at the rest state before a supercritical Hopf bifurcation in the Chay system, without or with external current input. These firing activities are closely related to the global bifurcation mechanism of the whole system and the fast/slow dynamical subsystem, and can be tackled by means of bifurcation analysis. Less spikes appears and their peaks are lower before supH, comparing with those before subH. The existence of multiple parameters and different types of bifurcation sequences leads to the diversity of the distinct bursting and spiking, which can be used to simulate the firing activities.