Orbital Reversibility of Planar Vector Fields

In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given. The procedure is useful in the center problem because any...

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Detalles Bibliográficos
Autores: Algaba Durán, Antonio, García García, Cristóbal, Giné, Jaume
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/19501
Acceso en línea:http://hdl.handle.net/10272/19501
Access Level:acceso abierto
Palabra clave:Time-reversibility
Orbital reversibility
Center problem
Planar vector fields
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spelling Orbital Reversibility of Planar Vector FieldsAlgaba Durán, AntonioGarcía García, CristóbalGiné, JaumeTime-reversibilityOrbital reversibilityCenter problemPlanar vector fieldsIn this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given. The procedure is useful in the center problem because any nondegenerate and nilpotent center is orbitally reversible. Moreover, using this algorithm is possible to find degenerate centers which are orbitally reversible.MDPI20212021-01-0120212021-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10272/19501reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelvainstname:Universidad de Huelva (UHU)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:ariasmontano.uhu.es:10272/195012026-06-02T14:58:11Z
dc.title.none.fl_str_mv Orbital Reversibility of Planar Vector Fields
title Orbital Reversibility of Planar Vector Fields
spellingShingle Orbital Reversibility of Planar Vector Fields
Algaba Durán, Antonio
Time-reversibility
Orbital reversibility
Center problem
Planar vector fields
title_short Orbital Reversibility of Planar Vector Fields
title_full Orbital Reversibility of Planar Vector Fields
title_fullStr Orbital Reversibility of Planar Vector Fields
title_full_unstemmed Orbital Reversibility of Planar Vector Fields
title_sort Orbital Reversibility of Planar Vector Fields
dc.creator.none.fl_str_mv Algaba Durán, Antonio
García García, Cristóbal
Giné, Jaume
author Algaba Durán, Antonio
author_facet Algaba Durán, Antonio
García García, Cristóbal
Giné, Jaume
author_role author
author2 García García, Cristóbal
Giné, Jaume
author2_role author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv Time-reversibility
Orbital reversibility
Center problem
Planar vector fields
topic Time-reversibility
Orbital reversibility
Center problem
Planar vector fields
description In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given. The procedure is useful in the center problem because any nondegenerate and nilpotent center is orbitally reversible. Moreover, using this algorithm is possible to find degenerate centers which are orbitally reversible.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01
2021
2021-01-01
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 http://hdl.handle.net/10272/19501
url http://hdl.handle.net/10272/19501
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
Atribución-NoComercial-SinDerivadas 3.0 España
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
Atribución-NoComercial-SinDerivadas 3.0 España
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 MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelva
instname:Universidad de Huelva (UHU)
instname_str Universidad de Huelva (UHU)
reponame_str Arias Montano. Repositorio Institucional de la Universidad de Huelva
collection Arias Montano. Repositorio Institucional de la Universidad de Huelva
repository.name.fl_str_mv
repository.mail.fl_str_mv
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