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We study the phase diagram of memristive circuit models in thereplica-symmetric case using a novel Lyapunov function for the dynamics ofthese devices. Effectively, the model we propose is an Ising model withinteracting quenched disorder, which we study at the first order in a controlparameter. Notwithstanding these limitations, we find a complex phase diagramand a glass-ferromagnetic transition in the parameter space which generalizesearlier mean-field theory results for a simpler model. Our results suggest anon-trivial landscape of asymptotic states for memristive circuits.

Phases of memristive circuits via an interacting disorder approach