Darboux integrability for polynomial vector fields invariant under action of finite group

Detalhes bibliográficos
Autor(a) principal: Corrêa Jr., Maurício
Data de Publicação: 2011
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1007/s12346-011-0065-6
http://www.locus.ufv.br/handle/123456789/21337
Resumo: In this paper we present a Darboux–Jouanolou integrability type theorem for polynomial vector fields invariant under action of finite group. As corollary, we obtain a generalization of Darboux–Jouanolou integrability theorem for affine algebraic varieties with quotient singularities.
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spelling Corrêa Jr., Maurício2018-08-22T20:20:10Z2018-08-22T20:20:10Z2011-12-2716623592https://doi.org/10.1007/s12346-011-0065-6http://www.locus.ufv.br/handle/123456789/21337In this paper we present a Darboux–Jouanolou integrability type theorem for polynomial vector fields invariant under action of finite group. As corollary, we obtain a generalization of Darboux–Jouanolou integrability theorem for affine algebraic varieties with quotient singularities.engQualitative Theory of Dynamical Systemsv. 11, n. 1, p. 159– 166, april 2012Springer Basel AGinfo:eu-repo/semantics/openAccessDarboux integrabilityRational first integralFinite group actionDarboux integrability for polynomial vector fields invariant under action of finite groupinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf204271https://locus.ufv.br//bitstream/123456789/21337/1/artigo.pdf37db04e4b89e763ad5c520999b8bbb03MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21337/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4681https://locus.ufv.br//bitstream/123456789/21337/3/artigo.pdf.jpgf77fc113c1f9800ba67bba5cb727c477MD53123456789/213372018-08-22 23:00:50.969oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-08-23T02:00:50LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Darboux integrability for polynomial vector fields invariant under action of finite group
title Darboux integrability for polynomial vector fields invariant under action of finite group
spellingShingle Darboux integrability for polynomial vector fields invariant under action of finite group
Corrêa Jr., Maurício
Darboux integrability
Rational first integral
Finite group action
title_short Darboux integrability for polynomial vector fields invariant under action of finite group
title_full Darboux integrability for polynomial vector fields invariant under action of finite group
title_fullStr Darboux integrability for polynomial vector fields invariant under action of finite group
title_full_unstemmed Darboux integrability for polynomial vector fields invariant under action of finite group
title_sort Darboux integrability for polynomial vector fields invariant under action of finite group
author Corrêa Jr., Maurício
author_facet Corrêa Jr., Maurício
author_role author
dc.contributor.author.fl_str_mv Corrêa Jr., Maurício
dc.subject.pt-BR.fl_str_mv Darboux integrability
Rational first integral
Finite group action
topic Darboux integrability
Rational first integral
Finite group action
description In this paper we present a Darboux–Jouanolou integrability type theorem for polynomial vector fields invariant under action of finite group. As corollary, we obtain a generalization of Darboux–Jouanolou integrability theorem for affine algebraic varieties with quotient singularities.
publishDate 2011
dc.date.issued.fl_str_mv 2011-12-27
dc.date.accessioned.fl_str_mv 2018-08-22T20:20:10Z
dc.date.available.fl_str_mv 2018-08-22T20:20:10Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1007/s12346-011-0065-6
http://www.locus.ufv.br/handle/123456789/21337
dc.identifier.issn.none.fl_str_mv 16623592
identifier_str_mv 16623592
url https://doi.org/10.1007/s12346-011-0065-6
http://www.locus.ufv.br/handle/123456789/21337
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 11, n. 1, p. 159– 166, april 2012
dc.rights.driver.fl_str_mv Springer Basel AG
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Springer Basel AG
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Qualitative Theory of Dynamical Systems
publisher.none.fl_str_mv Qualitative Theory of Dynamical Systems
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
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institution UFV
reponame_str LOCUS Repositório Institucional da UFV
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