Noise-induced transitions in an excitable system

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Abstract
A numerical study of dichotomous noise-induced transitions is presented for an example of a two-dimensional excitable system exhibiting bistability between a limit cycle and a fixed point: the simple Oregonator model. The decay of the average population number in the fixed-point region is investigated for various noise correlation times and for two different initial system preparations. The mean first passage time taken to leave the fixed-point region is determined and is compared with analytical results obtained from a simple stochastic model.