Solutions and Asymptotically Stable Behavior of a Neural Network Model

In this paper, the differential equation of an artificial neural network model is solved by solving a simple one dimension differential equation.The solutions of the neural network that is obtained are represented by the eigenvalues and eigenvectors of the symmetric matrix.Then the other solutions in special conditions are obtained using the solutions in general conditions.In special condtions,the neural network is employed to compute out all eigenvalues and eigenvectors by many dissertations.Finally,the asymptotic stable behavior is analyzed using the solutions.