IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v531y2019ics0378437119310106.html
   My bibliography  Save this article

Effects of Lévy noise in a neuronal competition model

Author

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

Abstract

The effects of non-Gaussian Lévy noise in a competitive neural model of binocular rivalry are analyzed numerically. We first investigate how Lévy noise added to the input strength changes the period of oscillations and leads to the disappearance of the winner-take-all behavior. Noise-induced alternations are then studied in terms of their statistical measures. We are interested in the overlapping of the regions where the model’s behavior satisfies the experimental constraints on the mean dominance duration and the coefficient of variation of the dominance durations. The results indicate that changes in each of the parameters of Lévy noise produce changes in the overlap regions. The differences with Gaussian noise are emphasized. Finally we plot the distributions of the perceptual dominance durations for different parameters of Lévy noise and compare these distributions with gamma, log-normal and Weibull distributions using the Kolmogorov–Smirnov goodness-of-fit test.

Suggested Citation

  • Feng, Jing & Xu, Wei & Xu, Yong & Wang, Xiaolong, 2019. "Effects of Lévy noise in a neuronal competition model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119310106
    DOI: 10.1016/j.physa.2019.121747
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119310106
    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.2019.121747?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.

    Citations

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


    Cited by:

    1. Song, Yi & Xu, Wei, 2021. "Asymmetric Lévy noise changed stability in a gene transcriptional regulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

    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:531:y:2019:i:c:s0378437119310106. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.