We consider the dynamics of diluted neural networks with clipped and adapti
ng synapses, Unlike previous studies, the learning rate is kept constant as
the connectivity tends to infinity: the synapses evolve on a time scale in
termediate between the quenched and annealing limits and all orders of syna
ptic correlations must be taken into account. The dynamics is solved by mea
n-field theory, the order parameter for synapses being a function. We descr
ibe the effects, in the double dynamics, due to synaptic correlations.