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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. doi:10.3934/cpaa.2009.8.655 ISSN 1534-0392.

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

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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:
DateEvent
March 2009Published
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

Data sourced from Thomson Reuters' Web of Knowledge

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