Nanomechanics has brought mesoscopic physics into the world of vibrations. Because
nanomechanical systems are small, fluctuations are significant, the vibrations already …

Mode interactions have recently become the focus of intense research in micro/
nanoelectromechanical systems (M/NEMS) due to their ability to improve device …

The internal resonance of electrostatically coupled cubic nonlinear low-frequency micro-
resonator and linear high-frequency micro-resonator is investigated experimentally. A …

Abstract We apply the Proper Orthogonal Decomposition (POD) method for the efficient
simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving …

This paper considers nonlinear interactions between vibration modes with a focus on recent
studies relevant to micro-and nanoscale mechanical resonators. Due to their inherently …

The dynamic response of a nonlinear resonator in the presence of resonant mode coupling
is studied experimentally and theoretically. For the case of a clamped-clamped beam …

Phononic frequency combs represent the mechanical analog of optical frequency combs.
Several independent experimental studies have demonstrated the onset and evolution …

A limit cycle is a self-sustained, periodic, isolated motion appearing in autonomous
differential equations. As the period of a limit cycle is a priori unknown, finding it as a …

Frequency comb in microelectromechanical systems has attracted many concerns, which is
expected to realize great achievements analogous with the optical frequency comb …

As natural frequencies become commensurate, internal (autoparametric) resonances
involving the corresponding modes may arise. This phenomenon has been recently …