Pattern selection in parametrically-driven arrays of nonlinear resonators
Pattern Formation and Solitons
2009-03-21 v1 Other Condensed Matter
Abstract
We study the problem of pattern selection in an array of parametrically-driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems (MEMS & NEMS), using an amplitude equation recently derived by Bromberg, Cross, and Lifshitz [PRE 73, 016214 (2006)]. We describe the transitions between standing-wave patterns of different wave numbers as the drive amplitude is varied either quasistatically, abruptly, or as a linear ramp in time. We find novel hysteretic effects, which are confirmed by numerical integration of the original equations of motion of the interacting nonlinear resonators.
Cite
@article{arxiv.0808.3589,
title = {Pattern selection in parametrically-driven arrays of nonlinear resonators},
author = {Eyal Kenig and Ron Lifshitz and M. C. Cross},
journal= {arXiv preprint arXiv:0808.3589},
year = {2009}
}