Global Behavior of a Neural Networks System
Qamar Din, Tarek F. Ibrahim · 2013
In this paper, we study the qualitative behavior of a neural network system. More precisely, we investigate the boundedness character, persistence, the existence of unique positive equilibrium point, the local and global behavior of positive solutions of a system of discrete-time exponential difference equations, which represents a recurrent two-neuron module with an excitatory neuron with activity y n , and a self-connected inhibitory neuron with activity x n . Some numerical examples are given to verify our theoretical results.