High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows

The magnetised spherical Couette (MSC) problem, a three dimensional magnetohydrodynamic paradigmatic model in geo- and astrophysics, is considered to investigate bifurcations to high-dimensional invariant tori and chaotic flows in large scale dissipative dynamical systems with symmetry. The main goa...

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Authors: García González, Fernando|||0000-0003-4507-0486, Ogbonna, Jude, Giesecke, André, Stefani, Frank
Format: article
Publication Date:2023
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/386783
Online Access:https://hdl.handle.net/2117/386783
https://dx.doi.org/10.1016/j.cnsns.2022.107030
Access Level:Open access
Keyword:Hydrodynamics
Magnetohydrodynamics
High-dimensional tori
Chaotic transients
Hidrodinàmica
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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repository_id_str
spelling High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flowsGarcía González, Fernando|||0000-0003-4507-0486Ogbonna, JudeGiesecke, AndréStefani, FrankHydrodynamicsMagnetohydrodynamicsHigh-dimensional toriChaotic transientsHidrodinàmicaÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsThe magnetised spherical Couette (MSC) problem, a three dimensional magnetohydrodynamic paradigmatic model in geo- and astrophysics, is considered to investigate bifurcations to high-dimensional invariant tori and chaotic flows in large scale dissipative dynamical systems with symmetry. The main goal of the present study is to elucidate the origin of chaotic transients and intermittent behaviour from two different sequences of Hopf bifurcations involving invariant tori with four fundamental frequencies, which may be resonant. Numerical evidence of the existence of a crisis event destroying chaotic attractors and giving rise to the chaotic transients is provided. It is also shown that unstable invariant tori take part in the time evolution of these chaotic transients. For one sequence of bifurcations, the study demonstrates that chaotic transients display on–off intermittent behaviour. A possible explanatory mechanism is discussed.Peer Reviewed20232023-04-0120232023-04-27journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/386783https://dx.doi.org/10.1016/j.cnsns.2022.107030reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3867832026-05-27T15:37:01Z
dc.title.none.fl_str_mv High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
title High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
spellingShingle High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
García González, Fernando|||0000-0003-4507-0486
Hydrodynamics
Magnetohydrodynamics
High-dimensional tori
Chaotic transients
Hidrodinàmica
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
title_short High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
title_full High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
title_fullStr High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
title_full_unstemmed High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
title_sort High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
dc.creator.none.fl_str_mv García González, Fernando|||0000-0003-4507-0486
Ogbonna, Jude
Giesecke, André
Stefani, Frank
author García González, Fernando|||0000-0003-4507-0486
author_facet García González, Fernando|||0000-0003-4507-0486
Ogbonna, Jude
Giesecke, André
Stefani, Frank
author_role author
author2 Ogbonna, Jude
Giesecke, André
Stefani, Frank
author2_role author
author
author
dc.subject.none.fl_str_mv Hydrodynamics
Magnetohydrodynamics
High-dimensional tori
Chaotic transients
Hidrodinàmica
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
topic Hydrodynamics
Magnetohydrodynamics
High-dimensional tori
Chaotic transients
Hidrodinàmica
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
description The magnetised spherical Couette (MSC) problem, a three dimensional magnetohydrodynamic paradigmatic model in geo- and astrophysics, is considered to investigate bifurcations to high-dimensional invariant tori and chaotic flows in large scale dissipative dynamical systems with symmetry. The main goal of the present study is to elucidate the origin of chaotic transients and intermittent behaviour from two different sequences of Hopf bifurcations involving invariant tori with four fundamental frequencies, which may be resonant. Numerical evidence of the existence of a crisis event destroying chaotic attractors and giving rise to the chaotic transients is provided. It is also shown that unstable invariant tori take part in the time evolution of these chaotic transients. For one sequence of bifurcations, the study demonstrates that chaotic transients display on–off intermittent behaviour. A possible explanatory mechanism is discussed.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-04-01
2023
2023-04-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/386783
https://dx.doi.org/10.1016/j.cnsns.2022.107030
url https://hdl.handle.net/2117/386783
https://dx.doi.org/10.1016/j.cnsns.2022.107030
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-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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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