Darboux invariants for planar polynomial differential systems having an invariant conic

We characterize all the planar polynomial differential systems with a unique invariant algebraic curve given by a real conic and having a Darboux invariant.

Bibliographic Details
Authors: Llibre, Jaume|||0000-0002-9511-5999; Messias, Marcelo|||0000-0003-2269-7091; Reinol, Alisson C
Format: Article
Publication date:2014
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:150708
Online Access:https://ddd.uab.cat/record/150708
https://dx.doi.org/urn:doi:10.1007/s00033-013-0390-5
Access Level:Open access
Keyword:Darboux integrability
Darboux invariant
Invariant conics
Polynomial differential systems
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author Llibre, Jaume|||0000-0002-9511-5999
author2 Messias, Marcelo|||0000-0003-2269-7091
Reinol, Alisson C
author2_role author
author
author_browse Llibre, Jaume|||0000-0002-9511-5999
Messias, Marcelo|||0000-0003-2269-7091
Reinol, Alisson C
author_facet Llibre, Jaume|||0000-0002-9511-5999
Messias, Marcelo|||0000-0003-2269-7091
Reinol, Alisson C
author_role author
collection Dipòsit Digital de Documents de la UAB
description We characterize all the planar polynomial differential systems with a unique invariant algebraic curve given by a real conic and having a Darboux invariant.
eu_rights_str_mv openAccess
format article
id ES_74150a74e90dc05d7b842bee2e6ddeec
institution Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:ddd.uab.cat:150708
publishDate 2014
publishDateSort 2014
reponame_str Dipòsit Digital de Documents de la UAB
spelling Darboux invariants for planar polynomial differential systems having an invariant conic Llibre, Jaume|||0000-0002-9511-5999 Messias, Marcelo|||0000-0003-2269-7091 Reinol, Alisson C Darboux integrability Darboux invariant Invariant conics Polynomial differential systems We characterize all the planar polynomial differential systems with a unique invariant algebraic curve given by a real conic and having a Darboux invariant. https://ddd.uab.cat/record/150708 https://dx.doi.org/urn:doi:10.1007/s00033-013-0390-5
spellingShingle Darboux invariants for planar polynomial differential systems having an invariant conic
Llibre, Jaume|||0000-0002-9511-5999
Darboux integrability
Darboux invariant
Invariant conics
Polynomial differential systems
title Darboux invariants for planar polynomial differential systems having an invariant conic
title_full Darboux invariants for planar polynomial differential systems having an invariant conic
title_fullStr Darboux invariants for planar polynomial differential systems having an invariant conic
title_full_unstemmed Darboux invariants for planar polynomial differential systems having an invariant conic
title_short Darboux invariants for planar polynomial differential systems having an invariant conic
title_sort Darboux invariants for planar polynomial differential systems having an invariant conic
topic Darboux integrability
Darboux invariant
Invariant conics
Polynomial differential systems
topic_facet Darboux integrability
Darboux invariant
Invariant conics
Polynomial differential systems
url https://ddd.uab.cat/record/150708
https://dx.doi.org/urn:doi:10.1007/s00033-013-0390-5