Feng, Jianfeng, Shcherbina, Mariya and Tirozzi, Brunello (2009) Stability of the dynamics of an asymmetric neural network. Communications on Pure and Applied Analysis, Vol.8 (No.2). pp. 655-671. doi:10.3934/cpaa.2009.8.655 ISSN 1534-0392.

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Abstract

We study the stability of the dynamics of a network of n formal neurons interacting through an asymmetric matrix with independent random Gaussian elements of the type introduced by Rajan and Abbott ([1]). The neurons are represented by the values of their electric potentials x(i), i = 1, ... , n. Using the approach developed in a previous paper by us ([6]) we obtain sufficient conditions for diverging synchronized behavior and for stability.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Computer Science Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing
Journal or Publication Title:	Communications on Pure and Applied Analysis
Publisher:	American Institute of Mathematical Sciences
ISSN:	1534-0392
Official Date:	March 2009
Dates:	Date Event March 2009 Published
Volume:	Vol.8
Number:	No.2
Number of Pages:	17
Page Range:	pp. 655-671
DOI:	10.3934/cpaa.2009.8.655
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	University of Rome, Ukrainian Academy of Science of Kharkov

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