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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
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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 |
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| Journal or Publication Title: | Communications on Pure and Applied Analysis | ||||
| Publisher: | American Institute of Mathematical Sciences | ||||
| ISSN: | 1534-0392 | ||||
| Official Date: | March 2009 | ||||
| Dates: |
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| 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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