Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential

We study the global dynamics of the completely integrable Armbruster-Guckenheimer-Kim galactic potential. In these cases this system has two first integrals H1 and H2 independent and in involution. Let Ih1 and Ih2 be the set of points of the phase space on which H1 and H2 take the values h1 and h2,...

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Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:221319
Acceso en línea:https://ddd.uab.cat/record/221319
https://dx.doi.org/urn:doi:10.1007/s10509-019-3624-y
Access Level:acceso abierto
Palabra clave:Armbruster-Guckenheimer-Kim galactic potential
Invariant manifolds
Complete integrability
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spelling Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potentialLlibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229Armbruster-Guckenheimer-Kim galactic potentialInvariant manifoldsComplete integrabilityWe study the global dynamics of the completely integrable Armbruster-Guckenheimer-Kim galactic potential. In these cases this system has two first integrals H1 and H2 independent and in involution. Let Ih1 and Ih2 be the set of points of the phase space on which H1 and H2 take the values h1 and h2, respectively. The sets Ih1h2=Ih1∩Ih2 are invariant by the dynamics. We characterize the global flow on these sets and we describe the foliation of the phase space by the invariant sets Ih1h2. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/221319https://dx.doi.org/urn:doi:10.1007/s10509-019-3624-yreponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2213192026-06-06T12:50:31Z
dc.title.none.fl_str_mv Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
title Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
spellingShingle Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
Llibre, Jaume|||0000-0002-9511-5999
Armbruster-Guckenheimer-Kim galactic potential
Invariant manifolds
Complete integrability
title_short Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
title_full Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
title_fullStr Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
title_full_unstemmed Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
title_sort Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Valls, Clàudia|||0000-0001-8279-1229
author2_role author
dc.subject.none.fl_str_mv Armbruster-Guckenheimer-Kim galactic potential
Invariant manifolds
Complete integrability
topic Armbruster-Guckenheimer-Kim galactic potential
Invariant manifolds
Complete integrability
description We study the global dynamics of the completely integrable Armbruster-Guckenheimer-Kim galactic potential. In these cases this system has two first integrals H1 and H2 independent and in involution. Let Ih1 and Ih2 be the set of points of the phase space on which H1 and H2 take the values h1 and h2, respectively. The sets Ih1h2=Ih1∩Ih2 are invariant by the dynamics. We characterize the global flow on these sets and we describe the foliation of the phase space by the invariant sets Ih1h2.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/221319
https://dx.doi.org/urn:doi:10.1007/s10509-019-3624-y
url https://ddd.uab.cat/record/221319
https://dx.doi.org/urn:doi:10.1007/s10509-019-3624-y
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
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
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
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