Fig. 1: Experimental setup and synchronization regime.
From: Amplitude stabilization in a synchronized nonlinear nanomechanical oscillator
a The resonator (colored scanning electron micrograph of a representative NEMS in inset) is driven as an oscillator at \({f}_{{{{{{\rm{osc}}}}}}}\) using a feedback loop (arrow), and is subject to an external tone at \({f}_{{{{{{\rm{e}}}}}}}\). Using a lock-in amplifier, the output signal of the NEMS is demodulated at either \({f}_{{{{{{\rm{osc}}}}}}}\) or \({f}_{{{{{{\rm{e}}}}}}}\) to obtain amplitude and phase difference. The noise source is turned off for the synchronization range characterization. b The oscillator gets synchronized and locked to the frequency \({f}_{{{{{{\rm{e}}}}}}}\) for a sufficiently small frequency mismatch \({{{{{\rm{\delta }}}}}}{{{{{\rm{f}}}}}}={f}_{{{{{{\rm{r}}}}}}}-{f}_{{{{{{\rm{e}}}}}}}\). c The synchronization range increases quadratically with the drive amplitude in the nonlinear regime. The external tone level is set to 10% of the drive. The experimental black data points are plotted on top of the blue theoretical predictions from the model.
