Center problem for generic degenerate vector fields

We generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has not characteristic directions in the quasi-homogeneous leading term in certain c...

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Detalles Bibliográficos
Autores: Algaba, Antonio, Díaz, María, 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:10459.1/72110
Acceso en línea:https://doi.org/10.1016/j.na.2021.112597
http://hdl.handle.net/10459.1/72110
Access Level:acceso abierto
Palabra clave:Center problem
Degenerate vectors
Monodromy
Characteristic directions
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spelling Center problem for generic degenerate vector fieldsAlgaba, AntonioDíaz, MaríaGarcía, CristóbalGiné, JaumeCenter problemDegenerate vectorsMonodromyCharacteristic directionsWe generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has not characteristic directions in the quasi-homogeneous leading term in certain coordinates. We apply this method to some degenerate differential systems.The first and second authors are partially supported by a MINECO, Spain/FEDER, Spain grant numberPGC2018-096265-B-I00 and by the Consejería de Educación y Ciencia de la Junta de Andalucía, Spain(projects P12-FQM-1658, FQM-276). The third author is partially supported by a MINECO, Spain/FEDER,Spain grant number PID2020-113758GB-I00 and an AGAUR, Spain (Generalitat de Catalunya) grantnumber 2017SGR-1276.17Elsevier202120212022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.1016/j.na.2021.112597http://hdl.handle.net/10459.1/72110http://hdl.handle.net/10459.1/72110reponame: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 2017-2020/PGC2018-096265-B-I00info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00Reproducció del document publicat a https://doi.org/10.1016/j.na.2021.112597Nonlinear Analysis, 2022, vol. 214, 112597cc-by (c) Algaba et al., 2021info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:recercat.cat:10459.1/721102026-05-29T05:05:01Z
dc.title.none.fl_str_mv Center problem for generic degenerate vector fields
title Center problem for generic degenerate vector fields
spellingShingle Center problem for generic degenerate vector fields
Algaba, Antonio
Center problem
Degenerate vectors
Monodromy
Characteristic directions
title_short Center problem for generic degenerate vector fields
title_full Center problem for generic degenerate vector fields
title_fullStr Center problem for generic degenerate vector fields
title_full_unstemmed Center problem for generic degenerate vector fields
title_sort Center problem for generic degenerate vector fields
dc.creator.none.fl_str_mv Algaba, Antonio
Díaz, María
García, Cristóbal
Giné, Jaume
author Algaba, Antonio
author_facet Algaba, Antonio
Díaz, María
García, Cristóbal
Giné, Jaume
author_role author
author2 Díaz, María
García, Cristóbal
Giné, Jaume
author2_role author
author
author
dc.subject.none.fl_str_mv Center problem
Degenerate vectors
Monodromy
Characteristic directions
topic Center problem
Degenerate vectors
Monodromy
Characteristic directions
description We generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has not characteristic directions in the quasi-homogeneous leading term in certain coordinates. We apply this method to some degenerate differential systems.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021
2022
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/10.1016/j.na.2021.112597
http://hdl.handle.net/10459.1/72110
http://hdl.handle.net/10459.1/72110
url https://doi.org/10.1016/j.na.2021.112597
http://hdl.handle.net/10459.1/72110
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 2017-2020/PGC2018-096265-B-I00
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00
Reproducció del document publicat a https://doi.org/10.1016/j.na.2021.112597
Nonlinear Analysis, 2022, vol. 214, 112597
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
repository.name.fl_str_mv
repository.mail.fl_str_mv
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