Home > Articles > Published articles > Periodic orbits for real planar polynomial vectors fields of degree n having n invariant straight lines taking into account their multiplicities |
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 |
Postprint 15 p, 681.4 KB |