Equilibrium states and oscillation of an artificial dynamic neural network

Some theoretical results related to the behavior of a large collection of neurons composed of two and three families are presented. Each of them is represented by the mean value of the characteristic parameters such as the potential membrane and weights of the connections. Description in the state space has been retained. Attention is given to the determination of the equilibrium states and to the investigation of the state trajectories in the vicinity of these states. The oscillations described by S.I. Amari (1972) are found. Oscillation is shown for two families with negative connections, and the same phenomenon is found for three families