Darboux integrability of polynomial differential systems in R^3

In this article we study the Darboux integrability of the polynomial differential systems x˙ = y - x2, y˙ = z - x, z˙ = -d - ax - by - cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. The tools used here for studying the D...

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Authors: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Format: article
Publication Date:2013
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:150588
Online Access:https://ddd.uab.cat/record/150588
Access Level:Open access
Keyword:Darboux integrability
Invariants
Darboux polynomial
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spelling Darboux integrability of polynomial differential systems in R^3Llibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229Darboux integrabilityInvariantsDarboux polynomialIn this article we study the Darboux integrability of the polynomial differential systems x˙ = y - x2, y˙ = z - x, z˙ = -d - ax - by - cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. The tools used here for studying the Darboux integrability can be applied to arbitrary polynomial differential systems in R3. 22013-01-0120132013-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150588reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1505882026-06-06T12:50:31Z
dc.title.none.fl_str_mv Darboux integrability of polynomial differential systems in R^3
title Darboux integrability of polynomial differential systems in R^3
spellingShingle Darboux integrability of polynomial differential systems in R^3
Llibre, Jaume|||0000-0002-9511-5999
Darboux integrability
Invariants
Darboux polynomial
title_short Darboux integrability of polynomial differential systems in R^3
title_full Darboux integrability of polynomial differential systems in R^3
title_fullStr Darboux integrability of polynomial differential systems in R^3
title_full_unstemmed Darboux integrability of polynomial differential systems in R^3
title_sort Darboux integrability of polynomial differential systems in R^3
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Valls, Clàudia|||0000-0001-8279-1229
author2_role author
dc.subject.none.fl_str_mv Darboux integrability
Invariants
Darboux polynomial
topic Darboux integrability
Invariants
Darboux polynomial
description In this article we study the Darboux integrability of the polynomial differential systems x˙ = y - x2, y˙ = z - x, z˙ = -d - ax - by - cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. The tools used here for studying the Darboux integrability can be applied to arbitrary polynomial differential systems in R3.
publishDate 2013
dc.date.none.fl_str_mv 2
2013-01-01
2013
2013-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/150588
url https://ddd.uab.cat/record/150588
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
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
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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