On the computation of Darboux first integrals of a class of planar polynomial vector fields

[EN] We study the class of planar polynomial vector fields admitting Darboux first integrals of the type Pi(r)(i=1) f(i)(alpha i), where the alpha(i)'s are positive real numbers and the f(i)'s are polynomials defining curves with only one place at infinity. We show that these vecto...

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Autores: Ferragut, Antoni, GALINDO PASTOR, CARLOS, Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/155854
Acesso em linha:https://riunet.upv.es/handle/10251/155854
Access Level:acceso abierto
Palavra-chave:Planar polynomial vector field
Darboux first integral
Reduction of singularities
Curve with only one place at infinity
MATEMATICA APLICADA
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spelling On the computation of Darboux first integrals of a class of planar polynomial vector fieldsFerragut, AntoniGALINDO PASTOR, CARLOSMonserrat Delpalillo, Francisco José|||0000-0003-2221-0140Planar polynomial vector fieldDarboux first integralReduction of singularitiesCurve with only one place at infinityMATEMATICA APLICADA[EN] We study the class of planar polynomial vector fields admitting Darboux first integrals of the type Pi(r)(i=1) f(i)(alpha i), where the alpha(i)'s are positive real numbers and the f(i)'s are polynomials defining curves with only one place at infinity. We show that these vector fields have an extended reduction procedure and give an algorithm which, from a part of the extended reduction of the vector field, computes a Darboux first integral for generic exponents. (C) 2019 Elsevier Inc. All rights reserved.Partially supported by the Spanish Government: MINECO-FEDER grants MTM2015-65764-C3-2-P, MTM2016-81735-REDT, MTM2016-81932-REDT and MTM2016-77278-P, and MICINN-FEDER grant PGC2018-0966446-B-C22, as well as by Universitat Jaume I grant UJI-B2018-10.ElsevierDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaUniversitat Jaume IEuropean Regional Development FundMinisterio de Economía y CompetitividadAgencia Estatal de InvestigaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20192019-10-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/155854reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2015-65764-C3-2-P VALORACIONES, CAMPOS VECTORIALES ALGEBRAICOS Y CODIGOS CORRECTORESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-81735-REDT RED DE GEOMETRIA ALGEBRAICA Y SINGULARIDADESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-81932-REDT RED EACA RED TEMATICA DE CALCULO SIMBOLICO, ALGEBRA COMPUTACIONAL Y APLICACONESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77278-P ALGUNOS ASPECTOS DE LA DINAMICA LOCAL Y GLOBAL DE LOS SISTEMAS DINAMICOS CONTINUOS Y DISCRETOS: INTEGRABILIDAD, PERIODICIDAD Y BIFURCACIONESAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-096446-B-C22 VALORACIONES, FOLIACIONES Y CODIGOS CORRECTORES DE ERRORES CUANTICOSUniversitat Jaume I https://doi.org/10.13039/501100004834 UJI-B2018-10open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1558542026-06-13T07:49:27Z
dc.title.none.fl_str_mv On the computation of Darboux first integrals of a class of planar polynomial vector fields
title On the computation of Darboux first integrals of a class of planar polynomial vector fields
spellingShingle On the computation of Darboux first integrals of a class of planar polynomial vector fields
Ferragut, Antoni
Planar polynomial vector field
Darboux first integral
Reduction of singularities
Curve with only one place at infinity
MATEMATICA APLICADA
title_short On the computation of Darboux first integrals of a class of planar polynomial vector fields
title_full On the computation of Darboux first integrals of a class of planar polynomial vector fields
title_fullStr On the computation of Darboux first integrals of a class of planar polynomial vector fields
title_full_unstemmed On the computation of Darboux first integrals of a class of planar polynomial vector fields
title_sort On the computation of Darboux first integrals of a class of planar polynomial vector fields
dc.creator.none.fl_str_mv Ferragut, Antoni
GALINDO PASTOR, CARLOS
Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
author Ferragut, Antoni
author_facet Ferragut, Antoni
GALINDO PASTOR, CARLOS
Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
author_role author
author2 GALINDO PASTOR, CARLOS
Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Informática
Universitat Jaume I
European Regional Development Fund
Ministerio de Economía y Competitividad
Agencia Estatal de Investigación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Planar polynomial vector field
Darboux first integral
Reduction of singularities
Curve with only one place at infinity
MATEMATICA APLICADA
topic Planar polynomial vector field
Darboux first integral
Reduction of singularities
Curve with only one place at infinity
MATEMATICA APLICADA
description [EN] We study the class of planar polynomial vector fields admitting Darboux first integrals of the type Pi(r)(i=1) f(i)(alpha i), where the alpha(i)'s are positive real numbers and the f(i)'s are polynomials defining curves with only one place at infinity. We show that these vector fields have an extended reduction procedure and give an algorithm which, from a part of the extended reduction of the vector field, computes a Darboux first integral for generic exponents. (C) 2019 Elsevier Inc. All rights reserved.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-10-15
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 https://riunet.upv.es/handle/10251/155854
url https://riunet.upv.es/handle/10251/155854
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 http://dx.doi.org/10.13039/501100003329 MTM2015-65764-C3-2-P VALORACIONES, CAMPOS VECTORIALES ALGEBRAICOS Y CODIGOS CORRECTORES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-81735-REDT RED DE GEOMETRIA ALGEBRAICA Y SINGULARIDADES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-81932-REDT RED EACA RED TEMATICA DE CALCULO SIMBOLICO, ALGEBRA COMPUTACIONAL Y APLICACONES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77278-P ALGUNOS ASPECTOS DE LA DINAMICA LOCAL Y GLOBAL DE LOS SISTEMAS DINAMICOS CONTINUOS Y DISCRETOS: INTEGRABILIDAD, PERIODICIDAD Y BIFURCACIONES
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-096446-B-C22 VALORACIONES, FOLIACIONES Y CODIGOS CORRECTORES DE ERRORES CUANTICOS
Universitat Jaume I https://doi.org/10.13039/501100004834 UJI-B2018-10
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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