Phase transition and alternation in a model of perceptual bistability in the presence of Lévy noise

The stochastic dynamics of the energy-based model of perceptual bistability are numerically studied under the influence of Lévy noise. We obtain the stationary probability distribution for the system driven by Gaussian and non-Gaussian noise. By comparing the results we demonstrate that the interplay of Lévy noise and the input strength of each percept can generate a variety of different effects. We next show the influences of Lévy noise on the mean dominance duration of each percept. The alternation rate is also considered as functions of the different parameters of Lévy noise. It shows that changing the value of one (or more) of the parameters of Lévy noise can change the mean dominance duration of the percepts and their alternation rate.