On the Design of Oscillatory Circuits Based on Stanford Memristor Model

Oscillatory circuits with real memristors have attracted a lot of interest in recent years. The vast majority of circuits involve volatile memristors, while less explored is the use of non-volatile memristors. This paper considers a Chua's circuit with a non-volatile memristor that obeys the Stanford model. Exploiting the fact that such a memristor can be modeled as a programmable nonlinear resistor within some voltage range, a procedure based on the Harmonic Balance (HB) method is derived to select the circuit parameters in order to generate a family of periodic solutions via a supercritical Hopf bifurcation. These oscillatory behaviors can be programmed by using the estimations of the period and magnitude provided by the procedure, as shown in the numerical example.