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

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arxiv 2005.09215 v1 pith:RW7HCIAG submitted 2020-05-19 cond-mat.mes-hall nlin.CDphysics.app-ph

Samer Houri , Motoki Asano , Hiroshi Yamaguchi , Natsue Yoshimura , Yasuharu Koike , Ludovico Minati This is my paper
classification cond-mat.mes-hallnlin.CDphysics.app-ph
keywords chaosnemsapproachgenerationresonatorsnonlinearactuationanalytically
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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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  1. Non-Exponential Relaxation in the Rotating Frame of a Driven Nanomechanical Mode

    cond-mat.mes-hall 2025-08 conditional novelty 6.0 of 10

    In a strongly driven nanomechanical mode, ring-down in the rotating frame is non-exponential: the in-phase component initially decays at about twice the rate of the quadrature, as a Duffing model with a dominant secon...

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