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Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system

Inspired by the experimental and numerical findings, we study the dynamic instabilities of two coupled nonlinear delay differential equations that are used to describe the coherent oscillations between the top and bottom boundary layers in turbulent Rayleigh–Bénard convection. By introducing two sen...

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Detalles Bibliográficos
Autores principales: Wang, Yin, Xu, Wei, Lai, Pik-Yin, Tong, Penger
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7936602/
https://www.ncbi.nlm.nih.gov/pubmed/33716404
http://dx.doi.org/10.1007/s11071-021-06316-3
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author Wang, Yin
Xu, Wei
Lai, Pik-Yin
Tong, Penger
author_facet Wang, Yin
Xu, Wei
Lai, Pik-Yin
Tong, Penger
author_sort Wang, Yin
collection PubMed
description Inspired by the experimental and numerical findings, we study the dynamic instabilities of two coupled nonlinear delay differential equations that are used to describe the coherent oscillations between the top and bottom boundary layers in turbulent Rayleigh–Bénard convection. By introducing two sensitivity parameters for the instabilities of the top and bottom boundary layers, we find three different types of solutions, namely in-phase single-period oscillations, multi-period oscillations and chaos. The chaos solution contains rare but large amplitude fluctuations. The statistical properties of these fluctuations are consistent with those observed in the experiment for the massive eruption of thermal plumes, which causes random reversals of the large-scale circulation in turbulent Rayleigh–Bénard convection. Our study thus provides new insights into the origin of rare massive eruptions and sudden changes of large-scale flow pattern that are often observed in convection systems of geophysical and astrophysical scales.
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spelling pubmed-79366022021-03-08 Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system Wang, Yin Xu, Wei Lai, Pik-Yin Tong, Penger Nonlinear Dyn Original Paper Inspired by the experimental and numerical findings, we study the dynamic instabilities of two coupled nonlinear delay differential equations that are used to describe the coherent oscillations between the top and bottom boundary layers in turbulent Rayleigh–Bénard convection. By introducing two sensitivity parameters for the instabilities of the top and bottom boundary layers, we find three different types of solutions, namely in-phase single-period oscillations, multi-period oscillations and chaos. The chaos solution contains rare but large amplitude fluctuations. The statistical properties of these fluctuations are consistent with those observed in the experiment for the massive eruption of thermal plumes, which causes random reversals of the large-scale circulation in turbulent Rayleigh–Bénard convection. Our study thus provides new insights into the origin of rare massive eruptions and sudden changes of large-scale flow pattern that are often observed in convection systems of geophysical and astrophysical scales. Springer Netherlands 2021-03-06 2021 /pmc/articles/PMC7936602/ /pubmed/33716404 http://dx.doi.org/10.1007/s11071-021-06316-3 Text en © The Author(s), under exclusive licence to Springer Nature B.V. part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Paper
Wang, Yin
Xu, Wei
Lai, Pik-Yin
Tong, Penger
Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system
title Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system
title_full Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system
title_fullStr Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system
title_full_unstemmed Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system
title_short Symmetry-breaking-induced rare fluctuations in a time-delay dynamic system
title_sort symmetry-breaking-induced rare fluctuations in a time-delay dynamic system
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7936602/
https://www.ncbi.nlm.nih.gov/pubmed/33716404
http://dx.doi.org/10.1007/s11071-021-06316-3
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