Effects of Lévy noise in a neuronal competition model

Jing Feng, Wei Xu, Yong Xu and Xiaolong Wang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 531, issue C

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.

Keywords: Lévy noise; Alternation; Adaptation process; Winner-take-all; Mean dominance duration (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119310106
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

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119310106

DOI: 10.1016/j.physa.2019.121747

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().