Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays
Mesoscale and Nanoscale Physics
2009-11-07 v1
Abstract
The response of a coupled array of nonlinear oscillators to parametric excitation is calculated in the weak nonlinear limit using secular perturbation theory. Exact results for small arrays of oscillators are used to guide the analysis of the numerical integration of the model equations of motion for large arrays. The results provide a qualitative explanation for a recent experiment [Buks and Roukes, cond-mat/0008211, to appear in J. MEMS (2002)] involving a parametrically-excited micromechanical resonator array. Future experiments are suggested that could provide quantitative tests of the theoretical predictions.
Cite
@article{arxiv.cond-mat/0208394,
title = {Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays},
author = {Ron Lifshitz and M. C. Cross},
journal= {arXiv preprint arXiv:cond-mat/0208394},
year = {2009}
}
Comments
27 pages (in preprint format), 8 figures