Information processing in synchronous neural networks
José F. Fontanari, R. Köberle · Journal de physique · 1988
The phase diagram of Little's model is determined when the number of stored patterns p grows as ρ = αN, where N is the number of neurons. We duplicate phase space in order to accomodate cycles of length two within the framework of equilibrium statistical mechanics. Using the replica symmetry scheme we determine the phase diagram including a parameter J0 able to control the occurrence of cycles. The second order transition between the paramagnetic and ferromagnetic phase becomes first order at a tricritical point. The retrieval region is some what larger than in Hopfield's model. We also find a low temperature paramagnetic phase with unphysical properties.