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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Detalhes bibliográficos
Autores: Algaba Durán, Antonio, Díaz García, María, García García, Cristóbal, Giné, Jaume
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/20538
Acesso em linha:http://hdl.handle.net/10272/20538
Access Level:acceso abierto
Palavra-chave:Center problem
Degenerate vectors
Monodromy
Characteristic directions
12 Matemáticas
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spelling Center problem for generic degenerate vector fieldsAlgaba Durán, AntonioDíaz García, MaríaGarcía García, CristóbalGiné, JaumeCenter problemDegenerate vectorsMonodromyCharacteristic directions12 MatemáticasWe 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.Elsevier20222022-01-0120222022-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10272/20538reponame: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:10272/205382026-06-02T14:58:11Z
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 Durán, Antonio
Center problem
Degenerate vectors
Monodromy
Characteristic directions
12 Matemáticas
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 Durán, Antonio
Díaz García, María
García García, Cristóbal
Giné, Jaume
author Algaba Durán, Antonio
author_facet Algaba Durán, Antonio
Díaz García, María
García García, Cristóbal
Giné, Jaume
author_role author
author2 Díaz García, María
García García, Cristóbal
Giné, Jaume
author2_role author
author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv Center problem
Degenerate vectors
Monodromy
Characteristic directions
12 Matemáticas
topic Center problem
Degenerate vectors
Monodromy
Characteristic directions
12 Matemáticas
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 2022
dc.date.none.fl_str_mv 2022
2022-01-01
2022
2022-01-01
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/10272/20538
url http://hdl.handle.net/10272/20538
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 Elsevier
publisher.none.fl_str_mv Elsevier
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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