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Stability of the dynamics of an asymmetric neural network

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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. ISSN 1534-0392

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Official URL: http://dx.doi.org/10.3934/cpaa.2009.8.655

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 > Computer Science
Faculty of Science > Mathematics
Faculty of Science > Centre for Scientific Computing

Journal or Publication Title:

Communications on Pure and Applied Analysis

Publisher:

American Institute of Mathematical Sciences

ISSN:

1534-0392