Anti-phase synchronization in microelectromechanical systems and effect of impulsive perturbations

We show that anti-phase synchronization can emerge in a pair of electrically coupled micromechanical beams. Under impulsive perturbation, desynchronization occurs, distorting the output of each beam. We derive a formula for the relaxation rate and verify it numerically. We also find that the difference between the displacements of the two beams, or the differential signal, is robustly immune to impulsive perturbation, implying that the system can effectively counter external disturbances. This can have significant applications in the development of various microscale devices, which we elaborate on using microelectromechanical resonators.