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Stability of the dynamics of an asymmetric neural network

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  • 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 $x_i, i=1,\cdots,n$. Using the approach developed in a previous paper by us ([6]) we obtain sufficient conditions for diverging synchronized behavior and for stability.
    Mathematics Subject Classification: Primary: 60-xx, 93-xx; Secondary: 93Dxx.


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