Constructions of b-semitoric systems

In this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate the distinctive characteristics of these systems. A b-semitoric system is...

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Autores: Brugués Mora, Joaquim, Hohloch, Sonja, Mir Garcia, Pau|||0000-0002-6761-2445, Miranda Galcerán, Eva|||0000-0001-9518-5279
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/395832
Acceso en línea:https://hdl.handle.net/2117/395832
https://dx.doi.org/10.1063/5.0152551
Access Level:acceso abierto
Palabra clave:Vector analysis
Hamilton spaces
Geometry, Differential
Hamiltonian mechanics
Differentiable manifold
Lie algebras
Differential geometry
Group theoretical methods
Subalgebra
Vector fields
Particle symmetry
Atom optics
Anàlisi vectorial
Hamilton, Espais de
Geometria diferencial
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
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spelling Constructions of b-semitoric systemsBrugués Mora, JoaquimHohloch, SonjaMir Garcia, Pau|||0000-0002-6761-2445Miranda Galcerán, Eva|||0000-0001-9518-5279Vector analysisHamilton spacesGeometry, DifferentialHamiltonian mechanicsDifferentiable manifoldLie algebrasDifferential geometryGroup theoretical methodsSubalgebraVector fieldsParticle symmetryAtom opticsAnàlisi vectorialHamilton, Espais deGeometria diferencialÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmicsIn this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate the distinctive characteristics of these systems. A b-semitoric system is a four-dimensional b-integrable system that satisfies certain conditions: one of its momentum map components is proper and generates an effective global S1-action and all singular points are non-degenerate and devoid of hyperbolic components. To illustrate this concept, we provide five examples of b-semitoric systems by modifying the coupled spin oscillator and the coupled angular momenta, and we also classify their singular points. Additionally, we describe the dynamics of these systems through the image of their respective momentum maps.Peer Reviewed20232023-07-0120232023-11-06journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://hdl.handle.net/2117/395832https://dx.doi.org/10.1063/5.0152551reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-103849GB-I00 GEOMETRIA, ALGEBRA, TOPOLOGIA Y APLICACIONES MULTIDISCIPLINARESMinisterio de Educación y Ciencia MTM2006-03036 GRUPOS TOPOLOGICOS. SUBGRUPOS DE ESPACIOS VECTORIALES TOPOLOGICOS Y DE GRUPOS COMPACTOS.Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación (PEICTI) 2013-2016 PCIN-2017-014 CELULAS SOLARES TANDEM DE SI PEROVSKITA DE ALTA EFICIENCIAopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3958322026-05-27T15:37:01Z
dc.title.none.fl_str_mv Constructions of b-semitoric systems
title Constructions of b-semitoric systems
spellingShingle Constructions of b-semitoric systems
Brugués Mora, Joaquim
Vector analysis
Hamilton spaces
Geometry, Differential
Hamiltonian mechanics
Differentiable manifold
Lie algebras
Differential geometry
Group theoretical methods
Subalgebra
Vector fields
Particle symmetry
Atom optics
Anàlisi vectorial
Hamilton, Espais de
Geometria diferencial
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
title_short Constructions of b-semitoric systems
title_full Constructions of b-semitoric systems
title_fullStr Constructions of b-semitoric systems
title_full_unstemmed Constructions of b-semitoric systems
title_sort Constructions of b-semitoric systems
dc.creator.none.fl_str_mv Brugués Mora, Joaquim
Hohloch, Sonja
Mir Garcia, Pau|||0000-0002-6761-2445
Miranda Galcerán, Eva|||0000-0001-9518-5279
author Brugués Mora, Joaquim
author_facet Brugués Mora, Joaquim
Hohloch, Sonja
Mir Garcia, Pau|||0000-0002-6761-2445
Miranda Galcerán, Eva|||0000-0001-9518-5279
author_role author
author2 Hohloch, Sonja
Mir Garcia, Pau|||0000-0002-6761-2445
Miranda Galcerán, Eva|||0000-0001-9518-5279
author2_role author
author
author
dc.subject.none.fl_str_mv Vector analysis
Hamilton spaces
Geometry, Differential
Hamiltonian mechanics
Differentiable manifold
Lie algebras
Differential geometry
Group theoretical methods
Subalgebra
Vector fields
Particle symmetry
Atom optics
Anàlisi vectorial
Hamilton, Espais de
Geometria diferencial
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
topic Vector analysis
Hamilton spaces
Geometry, Differential
Hamiltonian mechanics
Differentiable manifold
Lie algebras
Differential geometry
Group theoretical methods
Subalgebra
Vector fields
Particle symmetry
Atom optics
Anàlisi vectorial
Hamilton, Espais de
Geometria diferencial
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
description In this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate the distinctive characteristics of these systems. A b-semitoric system is a four-dimensional b-integrable system that satisfies certain conditions: one of its momentum map components is proper and generates an effective global S1-action and all singular points are non-degenerate and devoid of hyperbolic components. To illustrate this concept, we provide five examples of b-semitoric systems by modifying the coupled spin oscillator and the coupled angular momenta, and we also classify their singular points. Additionally, we describe the dynamics of these systems through the image of their respective momentum maps.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-07-01
2023
2023-11-06
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/2117/395832
https://dx.doi.org/10.1063/5.0152551
url https://hdl.handle.net/2117/395832
https://dx.doi.org/10.1063/5.0152551
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-103849GB-I00 GEOMETRIA, ALGEBRA, TOPOLOGIA Y APLICACIONES MULTIDISCIPLINARES
Ministerio de Educación y Ciencia MTM2006-03036 GRUPOS TOPOLOGICOS. SUBGRUPOS DE ESPACIOS VECTORIALES TOPOLOGICOS Y DE GRUPOS COMPACTOS.
Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación (PEICTI) 2013-2016 PCIN-2017-014 CELULAS SOLARES TANDEM DE SI PEROVSKITA DE ALTA EFICIENCIA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/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 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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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score 15.301629

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