Periodic orbits for real planar polynomial vectors fields of degree n having n invariant straight lines taking into account their multiplicities
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Rodrigues, Ana (University of Exeter (UK). Mathematics Research Institute)

Date:	2015
Abstract:	We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n=1,2,3 are completely characterized.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 European Commission 316338 European Commission 318999
Note:	Agraïments: The second author is supported by the Swedish Research Council (VR Grant 2010/5905).
Rights:	Aquest 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.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Invariant straight lines ; Limit cycles ; Periodic orbit ; Polynomial differential systems ; Polynomial vector fields
Published in:	Electronic Journal of Qualitative Theory of Differential Equations, Vol. 55 (2015) , p. 1-15, ISSN 1417-3875

DOI: 10.14232/ejqtde.2015.1.55

Postprint 15 p, 681.4 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles