Stability of the dynamics of an asymmetric neural network
Jianfeng Feng - Department of Computer Science and Mathematics, Warwick University, Coventry CV4 7AL, United Kingdom (email)
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 (). 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 () we obtain sufficient conditions for diverging synchronized behavior and for stability.
Keywords: Limit theorems, excitatory and inhibitory coupling, neural network
Received: January 2008; Revised: June 2008; Available Online: December 2008.
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