This thesis deals with the dynamics of the following neural networks of two neurons with self -feedback.~= —x + f(y(t — r))+ g(xQ — r)),(E)'I. ~ —y + f(x(t — T)) + g(y(t —where, signal functions f and g are continuous, dfferentiable, increasing and bounded, such as 2. tanh(x),The thesis consists of three chapters. In chapter 1, we consider the model (F) with time delay r = 0 and study the unique and global attractability of stable equilibria of the system, furthermore , we discuss the stability of equilibrias and the boundary between the basins of attraction of two stable equilibria of the system. In chapte2, we consider the case where T >0 in the model (F), we study the existence, stability basin of attraction of the equilibrias of the system. In chapter 3, we obtain the result to show that the stability of neural network (F) may be influenced by time delay. |