A Generic Rotating-Frame-Based Approach to Chaos Generation in Nonlinear MEMS NEMS Resonators
Mesoscale and Nanoscale Physics
2020-10-28 v1 Chaotic Dynamics
Applied Physics
Abstract
This work provides a low-power method for chaos generation which is generally applicable to nonlinear M/NEMS resonators. The approach taken is independent of the material, scale, design, and actuation of the device in question; it simply assumes a good quality factor and a Duffing type nonlinearity, features that are commonplace to M/NEMS resonators. The approach models the rotating-frame dynamics to analytically constrain the parameter space required for chaos generation. By leveraging these common properties of M/NEMS devices, a period-doubling route to chaos is generated using an order-of-magnitude smaller forcing than typically reported in the literature.
Keywords
Cite
@article{arxiv.2005.09215,
title = {A Generic Rotating-Frame-Based Approach to Chaos Generation in Nonlinear MEMS NEMS Resonators},
author = {Samer Houri and Motoki Asano and Hiroshi Yamaguchi and Natsue Yoshimura and Yasuharu Koike and Ludovico Minati},
journal= {arXiv preprint arXiv:2005.09215},
year = {2020}
}