Stochastic sensitivity analysis of the noise-induced excitability in a model of a hair bundle

摘要

We study effect of weak noise on the dynamics of a hair bundle model near the excitability threshold and near ansubcritical Hopf bifurcation.We analyze numerically noise-induced structural changes in the probability densitynand the power spectral density of the model. In particular, we show that weak noise can induce oscillations withntwo distinct frequencies in both excitable and limit-cycle regimes.We then applied a recently developed techniquenof stochastic sensitivity functions which allows us to estimate threshold values of noise intensity correspondingnto these transitions.