A new algorithm for finding rational first integrals of polynomial vector fields

We present a new method to compute rational first integrals of a planar polynomial vector field. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.

Detalles Bibliográficos
Autores: Ferragut Amengual, Antoni Manel, Giacomini, Héctor
Tipo de recurso: informe técnico
Fecha de publicación:2009
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/6507
Acceso en línea:https://hdl.handle.net/2117/6507
Access Level:acceso abierto
Palabra clave:Differential equations
Polynomial vector field
Rational first integral
Remarkable curve
Equacions diferencials ordinàries
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
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spelling A new algorithm for finding rational first integrals of polynomial vector fieldsFerragut Amengual, Antoni ManelGiacomini, HéctorDifferential equationsPolynomial vector fieldRational first integralRemarkable curveEquacions diferencials ordinàriesClassificació AMS::34 Ordinary differential equations::34C Qualitative theoryWe present a new method to compute rational first integrals of a planar polynomial vector field. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.20092009-05-0120102010-03-01reporthttp://purl.org/coar/resource_type/c_93fcAOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/6507reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/65072026-05-27T15:37:01Z
dc.title.none.fl_str_mv A new algorithm for finding rational first integrals of polynomial vector fields
title A new algorithm for finding rational first integrals of polynomial vector fields
spellingShingle A new algorithm for finding rational first integrals of polynomial vector fields
Ferragut Amengual, Antoni Manel
Differential equations
Polynomial vector field
Rational first integral
Remarkable curve
Equacions diferencials ordinàries
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
title_short A new algorithm for finding rational first integrals of polynomial vector fields
title_full A new algorithm for finding rational first integrals of polynomial vector fields
title_fullStr A new algorithm for finding rational first integrals of polynomial vector fields
title_full_unstemmed A new algorithm for finding rational first integrals of polynomial vector fields
title_sort A new algorithm for finding rational first integrals of polynomial vector fields
dc.creator.none.fl_str_mv Ferragut Amengual, Antoni Manel
Giacomini, Héctor
author Ferragut Amengual, Antoni Manel
author_facet Ferragut Amengual, Antoni Manel
Giacomini, Héctor
author_role author
author2 Giacomini, Héctor
author2_role author
dc.subject.none.fl_str_mv Differential equations
Polynomial vector field
Rational first integral
Remarkable curve
Equacions diferencials ordinàries
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
topic Differential equations
Polynomial vector field
Rational first integral
Remarkable curve
Equacions diferencials ordinàries
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
description We present a new method to compute rational first integrals of a planar polynomial vector field. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-05-01
2010
2010-03-01
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/6507
url https://hdl.handle.net/2117/6507
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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