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

Jing Feng; Wei Xu; Yong Xu; Xiaolong Wang

doi:10.1016/j.physa.2018.08.111

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

Jing Feng, Wei Xu, Yong Xu, Xiaolong Wang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	367-378
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	512
DOIs	https://doi.org/10.1016/j.physa.2018.08.111
State	Published - 15 Dec 2018

Keywords

Lévy noise
Mean dominance duration
Noise-induced alternation
Perceptual bistability

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title = "Phase transition and alternation in a model of perceptual bistability in the presence of L{\'e}vy noise",

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

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T1 - Phase transition and alternation in a model of perceptual bistability in the presence of Lévy noise

AU - Feng, Jing

AU - Xu, Wei

AU - Xu, Yong

AU - Wang, Xiaolong

PY - 2018/12/15

Y1 - 2018/12/15

N2 - 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.

AB - 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.

KW - Lévy noise

KW - Mean dominance duration

KW - Noise-induced alternation

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M3 - 文章

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JO - Physica A: Statistical Mechanics and its Applications

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

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Keywords

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