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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 |
| Date: | March 2009 |
| Volume: | Vol.8 |
| Number: | No.2 |
| Number of Pages: | 17 |
| Page Range: | pp. 655-671 |
| Identification Number: | 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 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/28612 |
Data sourced from Thomson Reuters' Web of Knowledge
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