A Generic Rotating-Frame-Based Approach to Chaos Generation in Nonlinear MEMS NEMS Resonators

TL;DR

This paper introduces a universal, low-power method for chaos generation in nonlinear MEMS/NEMS resonators by modeling rotating-frame dynamics, applicable across various device types, and achieves chaos with significantly reduced forcing.

Contribution

It presents a material- and design-independent approach to induce chaos in nonlinear resonators using rotating-frame dynamics modeling.

Findings

Chaos generated with an order-of-magnitude less forcing

Applicable to a wide range of M/NEMS resonators

Analytical constraints on parameters for chaos

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.