IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v512y2018icp367-378.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118310549
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2018.08.111?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jin, Yanfei & Wang, Heqiang, 2020. "Noise-induced dynamics in a Josephson junction driven by trichotomous noises," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Yue, Xiaole & Yu, Bei & Li, Yongge & Xu, Yong, 2022. "Dynamic response and bifurcation for Rayleigh-Liénard oscillator under multiplicative colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Bi, Haohao & Lei, Youming & Han, Yanyan, 2019. "Stochastic resonance across bifurcations in an asymmetric system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1296-1312.
    4. Wu, Juan & Xu, Yong & Ma, Shaojuan, 2019. "Realizing the transformation of logic gates in a genetic toggle system under Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 171-179.
    5. Liu, Di & Li, Junlin & Meng, Yu, 2019. "Probabilistic response analysis for a class of nonlinear vibro-impact oscillator with bilateral constraints under colored noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 179-188.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:367-378. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.