  We study the phase diagram of memristive circuit models in the
replica-symmetric case using a novel Lyapunov function for the dynamics of
these devices. Effectively, the model we propose is an Ising model with
interacting quenched disorder, which we study at the first order in a control
parameter. Notwithstanding these limitations, we find a complex phase diagram
and a glass-ferromagnetic transition in the parameter space which generalizes
earlier mean-field theory results for a simpler model. Our results suggest a
non-trivial landscape of asymptotic states for memristive circuits.
