Analysis of hysteresis in Hopfield neural networks

We report on an experimental hysteresis in the Hopfield network and give a detail mathematical description of the hysteresis phenomenon. It is the hysteresis that makes the Hopfield network difficult to reach the global minimum. This paper presents a T-Model network approach to overcoming the hysteresis phenomenon. Theoretical analysis of the T-Model network is also given. The hysteresis phenomenon in the Hopfield and the T-Model networks is illustrated through experiments and simulations. The experiments agree with the theoretical analysis very well.