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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: Tots els drets reservats.
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

 Record created 2016-01-12, last modified 2021-09-29



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