Stability of the dynamics of an asymmetric neural network
  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. 
J.F. Feng, M. Shcherbina, B. Tirozzi