Cycles in a synchronous neural network
José F. Fontanari · Journal of Physics A Mathematical and General · 1997
We extend the standard calculation of the number of metastable states (fixed points) so as to take into account cyclic attractors as well. We calculate analytically the average number of cycles in the Little model as a function of the fraction of flipping spins (1-q)/2. We find that the cycles of length two are by far the most common type of attractors. In particular, for small values of the storage parameter, the inverse cycles (q=-1) are the dominant attractors.