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A dynamical approach to generate chaos in a micromechanical resonator

Chaotic systems, presenting complex and nonreproducible dynamics, may be found in nature, from the interaction between planets to the evolution of weather, but can also be tailored using current technologies for advanced signal processing. However, the realization of chaotic signal generators remain...

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Autores principales: Defoort, Martial, Rufer, Libor, Fesquet, Laurent, Basrour, Skandar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8433204/
https://www.ncbi.nlm.nih.gov/pubmed/34567731
http://dx.doi.org/10.1038/s41378-021-00241-6
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author Defoort, Martial
Rufer, Libor
Fesquet, Laurent
Basrour, Skandar
author_facet Defoort, Martial
Rufer, Libor
Fesquet, Laurent
Basrour, Skandar
author_sort Defoort, Martial
collection PubMed
description Chaotic systems, presenting complex and nonreproducible dynamics, may be found in nature, from the interaction between planets to the evolution of weather, but can also be tailored using current technologies for advanced signal processing. However, the realization of chaotic signal generators remains challenging due to the involved dynamics of the underlying physics. In this paper, we experimentally and numerically present a disruptive approach to generate a chaotic signal from a micromechanical resonator. This technique overcomes the long-established complexity of controlling the buckling in micro/nanomechanical structures by modulating either the amplitude or the frequency of the driving force applied to the resonator in the nonlinear regime. The experimental characteristic parameters of the chaotic regime, namely, the Poincaré sections and Lyapunov exponents, are directly comparable to simulations for different configurations. These results confirm that this dynamical approach is transposable to any kind of micro/nanomechanical resonator, from accelerometers to microphones. We demonstrate a direct application exploiting the mixing properties of the chaotic regime by transforming an off-the-shelf microdiaphragm into a true random number generator conforming to the National Institute of Standards and Technology specifications. The versatility of this original method opens new paths to combine the unique properties of chaos with the exceptional sensitivity of microstructures, leading to emergent microsystems.
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spelling pubmed-84332042021-09-24 A dynamical approach to generate chaos in a micromechanical resonator Defoort, Martial Rufer, Libor Fesquet, Laurent Basrour, Skandar Microsyst Nanoeng Article Chaotic systems, presenting complex and nonreproducible dynamics, may be found in nature, from the interaction between planets to the evolution of weather, but can also be tailored using current technologies for advanced signal processing. However, the realization of chaotic signal generators remains challenging due to the involved dynamics of the underlying physics. In this paper, we experimentally and numerically present a disruptive approach to generate a chaotic signal from a micromechanical resonator. This technique overcomes the long-established complexity of controlling the buckling in micro/nanomechanical structures by modulating either the amplitude or the frequency of the driving force applied to the resonator in the nonlinear regime. The experimental characteristic parameters of the chaotic regime, namely, the Poincaré sections and Lyapunov exponents, are directly comparable to simulations for different configurations. These results confirm that this dynamical approach is transposable to any kind of micro/nanomechanical resonator, from accelerometers to microphones. We demonstrate a direct application exploiting the mixing properties of the chaotic regime by transforming an off-the-shelf microdiaphragm into a true random number generator conforming to the National Institute of Standards and Technology specifications. The versatility of this original method opens new paths to combine the unique properties of chaos with the exceptional sensitivity of microstructures, leading to emergent microsystems. Nature Publishing Group UK 2021-02-19 /pmc/articles/PMC8433204/ /pubmed/34567731 http://dx.doi.org/10.1038/s41378-021-00241-6 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Defoort, Martial
Rufer, Libor
Fesquet, Laurent
Basrour, Skandar
A dynamical approach to generate chaos in a micromechanical resonator
title A dynamical approach to generate chaos in a micromechanical resonator
title_full A dynamical approach to generate chaos in a micromechanical resonator
title_fullStr A dynamical approach to generate chaos in a micromechanical resonator
title_full_unstemmed A dynamical approach to generate chaos in a micromechanical resonator
title_short A dynamical approach to generate chaos in a micromechanical resonator
title_sort dynamical approach to generate chaos in a micromechanical resonator
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8433204/
https://www.ncbi.nlm.nih.gov/pubmed/34567731
http://dx.doi.org/10.1038/s41378-021-00241-6
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