A MEMS oscillator can be modelled as a lumped mass-spring-damper with a high resonant frequency and Q factor.
According to Wikipedia "All commercial MEMS oscillators use electrostatic transduction". i.e the resonator motion is detected with a capacitor. An Electronic sustaining amplifier detects the resonator motion and drives additional energy into the resonators driving the resonator in continuous oscillation.
What is a simple circuit that will achieve this? I need a circuit that will drive the oscillator at its resonant frequency. I need the simplest circuit possible, just for mathematical modelling purposes, so I'm not interested in advanced features or practical considerations.