Abstract: The transition behavior of the properties of a Hopfield model with random asymmetric interactions was theoretically investigated. The results show that when the memory loading level is greater than its critical value, a new kind of transition of the networks occurs. The results also show that in the neighborhood of the critical point of the memory loading level, the retrieval band appears again after it has merged with the band composed of the spurious stable states.

Key words: associative memory, neural network, Hopfield model