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Stability of the dynamics of an asymmetric neural network

J. F. Feng·M. Shcherbina·B. Tirozzi
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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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J. F. Feng, M. Shcherbina, B. Tirozzi. 2006-12-01. Stability of the dynamics of an asymmetric neural network. https://arxiv.org/abs/math-ph/0612006

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