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