Suppressing Frequency Fluctuations of Self-Sustained Vibrations in Underdamped Nonlinear Resonators

We consider frequency fluctuations in self-sustained oscillators based on nonlinear underdamped resonators. An important type of such resonators are nano- and micro-electro-mechanical systems. Various noise sources considered, with the emphasis fundamentally unavoidable that comes along dissipation from coupling to a thermal reservoir. The formulation terms action-angle variables resonator allows us study deeply regime. In this regime vibration as function action can have an extremum. show be strongly reduced by choosing operation point at suggest practical implementation nanoresonator has appropriate property explicit results for corresponding model.