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Stability of the dynamics of an asymmetric neural network

J. F. Feng, M. Shcherbina, B. Tirozzi

math-pharXiv:math-ph/0612006

Abstract

We study the stability of the dynamics of a network of n neurons intercting linearly through a random gaussian matrix of excitatory and inhibitory type. Using the aproach developed in a previous paper we show some interesting properties of the dynamic of this system for large values of n. We got sufficient conditions for getting diverging synchronized behavior or stability.

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