CYCLES IN A SYNCHRONOUS NEURAL-NETWORK

We extend the standard calculation of the number of metastable states (fixed points) so as to take into account cyclic attractors as well. W e calculate analytically the average number of cycles in the Little mo del as a function cf the fraction of flipping spins (1 - q)/2. We find that the cycles of length two are by far the most common type of attr actors. In particular, for small values of the storage parameter, the inverse cycles (q = -1) are the dominant attractors.