Dynamics of Hopfield Neural Networks with Dynamic Synapses

A discrete Hopfield neural network model with dynamic synapses(DSDNN) is proposed.The model of the dynamical connection weight and the updating scheme of the states of neurons are given.It is proved that each equilibrium of DSDNN corresponds to one equilibrium of a traditional discrete Hopfield neural network,and each equilibrium of a traditional discrete Hopfield neural network corresponds to one of DSDNN.The stability of the equilibrium is analyzed.The relationship between the dynamic characteristic of the DSDNN and its parameters is also analyzed by simulation.