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

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Abstract The stochastic dynamics of the energy-based model of perceptual bistability are numerically studied under the influence of Levy noise. We obtain the stationary probability distribution for the system driven… Click to show full abstract

Abstract The stochastic dynamics of the energy-based model of perceptual bistability are numerically studied under the influence of Levy 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 Levy noise and the input strength of each percept can generate a variety of different effects. We next show the influences of Levy noise on the mean dominance duration of each percept. The alternation rate is also considered as functions of the different parameters of Levy noise. It shows that changing the value of one (or more) of the parameters of Levy noise can change the mean dominance duration of the percepts and their alternation rate.

Keywords: model perceptual; alternation; perceptual bistability; noise; levy noise

Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2018

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