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, Antonio, García, Cristóbal, Giné, Jaume
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10459.1/70356
Acceso en línea:https://doi.org/10.3390/math9010014
http://hdl.handle.net/10459.1/70356
Access Level:acceso abierto
Palabra clave:Time-reversibility
Orbital reversibility
Center problem
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spelling Orbital Reversibility of Planar Vector FieldsAlgaba, AntonioGarcía, CristóbalGiné, JaumeTime-reversibilityOrbital reversibilityCenter problemIn 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.The first and second authors are partially supported by Ministerio de Ciencia, Innovación y Universidades/ FEDER grant number PGC2018-096265-B-I00 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276, UHU-1260150). The third author is partially supported by a MINECO/ FEDER grant number MTM2017-84383-P and an AGAUR (Generalitat de Catalunya) grant number 2017SGR-1276.MDPI202120212021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.3390/math9010014http://hdl.handle.net/10459.1/70356http://hdl.handle.net/10459.1/70356reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-Pinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096265-B-I00Reproducció del document publicat a https://doi.org/10.3390/math9010014Mathematics, 2021, vol. 9, núm. 1, 14cc-by (c) Algaba et al., 2021info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:recercat.cat:10459.1/703562026-05-29T05:05:01Z
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, Antonio
Time-reversibility
Orbital reversibility
Center problem
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, Antonio
García, Cristóbal
Giné, Jaume
author Algaba, Antonio
author_facet Algaba, Antonio
García, Cristóbal
Giné, Jaume
author_role author
author2 García, Cristóbal
Giné, Jaume
author2_role author
author
dc.subject.none.fl_str_mv Time-reversibility
Orbital reversibility
Center problem
topic Time-reversibility
Orbital reversibility
Center problem
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
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.3390/math9010014
http://hdl.handle.net/10459.1/70356
http://hdl.handle.net/10459.1/70356
url https://doi.org/10.3390/math9010014
http://hdl.handle.net/10459.1/70356
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-P
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096265-B-I00
Reproducció del document publicat a https://doi.org/10.3390/math9010014
Mathematics, 2021, vol. 9, núm. 1, 14
dc.rights.none.fl_str_mv cc-by (c) Algaba et al., 2021
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
rights_invalid_str_mv cc-by (c) Algaba et al., 2021
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
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