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arXiv · 2005.09215

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

Samer Houri·Motoki Asano·Hiroshi Yamaguchi·Natsue Yoshimura·Yasuharu Koike·Ludovico Minati
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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.

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Samer Houri, Motoki Asano, Hiroshi Yamaguchi, Natsue Yoshimura, Yasuharu Koike, Ludovico Minati. 2020-05-19. A Generic Rotating-Frame-Based Approach to Chaos Generation in Nonlinear MEMS NEMS Resonators. https://doi.org/10.1103/physrevlett.125.174301

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