Several Types Of Neural Network Model For Kinetic Studies

In this paper which consists of two parts, we deal with two kinds of artificial neural networks and obtain some results for their asymptotic behaviors.In Part 1, we investigate the convergence of the solutions and the existence and uniqueness of limit cycle for systemwhere p >0 is the decay rate, r> 0 is the synaptic transmission delay,f is the signal function and assumed to have the well-known McCulloch-Pitts non-linearity is a given constants.In Part 2, we investigate two class systems of discrete-time Hopfield Associative Memory neural networks and obtain some results about the existence of equilibrium points, global stability, exponential stability and the exponential convergence rate.