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

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  • Feng, Jing
  • Xu, Wei
  • Xu, Yong
  • Wang, Xiaolong

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.

Suggested Citation

  • Feng, Jing & Xu, Wei & Xu, Yong & Wang, Xiaolong, 2018. "Phase transition and alternation in a model of perceptual bistability in the presence of Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 367-378.
    • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:367-378
    DOI: 10.1016/j.physa.2018.08.111
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    References listed on IDEAS

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    1. Liu, Kaihe & Jin, Yanfei, 2013. "Stochastic resonance in periodic potentials driven by colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5283-5288.
    2. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Science and Technology, number hsbook9401, December.
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    Cited by:

    1. Wang, Xiaolong & Feng, Jing & Liu, Qi & Li, Yongge & Xu, Yong, 2022. "Neural network-based parameter estimation of stochastic differential equations driven by Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

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