Infinite period bifurcation due to imperfections in rotating thermal convection

A pinning area is a band of finite width where rotating waves with precession frequences near zero turn into steady non-axisymmetric solutions. Dynamical systems theory suggests that any imperfection breaking the SO(2) invariance of a problem must result in the formation of such a region. Numerical...

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Detalhes bibliográficos
Autor: López Alonso, Jose Manuel
Formato: tesis de maestría
Fecha de publicación:2011
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099.1/12666
Acesso em linha:https://hdl.handle.net/2099.1/12666
Access Level:acceso abierto
Palavra-chave:Differentiable dynamical systems
Bifurcations
Dynamical systems theory
Rotating convection
Imperfections
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
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spelling Infinite period bifurcation due to imperfections in rotating thermal convectionLópez Alonso, Jose ManuelDifferentiable dynamical systemsBifurcationsDynamical systems theoryRotating convectionImperfectionsSistemes dinàmics diferenciablesÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmicsA pinning area is a band of finite width where rotating waves with precession frequences near zero turn into steady non-axisymmetric solutions. Dynamical systems theory suggests that any imperfection breaking the SO(2) invariance of a problem must result in the formation of such a region. Numerical simulations of rotating convection in a finite cylinder have been made breaking the symmetry by imposing a linear profile of temperature at the top lid in order to find the aforementioned steady solutions region.Universitat Politècnica de CatalunyaMarqués Truyol, Francisco20112011-06-1720112011-07-15master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2099.1/12666reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099.1/126662026-05-27T15:37:01Z
dc.title.none.fl_str_mv Infinite period bifurcation due to imperfections in rotating thermal convection
title Infinite period bifurcation due to imperfections in rotating thermal convection
spellingShingle Infinite period bifurcation due to imperfections in rotating thermal convection
López Alonso, Jose Manuel
Differentiable dynamical systems
Bifurcations
Dynamical systems theory
Rotating convection
Imperfections
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
title_short Infinite period bifurcation due to imperfections in rotating thermal convection
title_full Infinite period bifurcation due to imperfections in rotating thermal convection
title_fullStr Infinite period bifurcation due to imperfections in rotating thermal convection
title_full_unstemmed Infinite period bifurcation due to imperfections in rotating thermal convection
title_sort Infinite period bifurcation due to imperfections in rotating thermal convection
dc.creator.none.fl_str_mv López Alonso, Jose Manuel
author López Alonso, Jose Manuel
author_facet López Alonso, Jose Manuel
author_role author
dc.contributor.none.fl_str_mv Marqués Truyol, Francisco
dc.subject.none.fl_str_mv Differentiable dynamical systems
Bifurcations
Dynamical systems theory
Rotating convection
Imperfections
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
topic Differentiable dynamical systems
Bifurcations
Dynamical systems theory
Rotating convection
Imperfections
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
description A pinning area is a band of finite width where rotating waves with precession frequences near zero turn into steady non-axisymmetric solutions. Dynamical systems theory suggests that any imperfection breaking the SO(2) invariance of a problem must result in the formation of such a region. Numerical simulations of rotating convection in a finite cylinder have been made breaking the symmetry by imposing a linear profile of temperature at the top lid in order to find the aforementioned steady solutions region.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-06-17
2011
2011-07-15
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099.1/12666
url https://hdl.handle.net/2099.1/12666
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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