Home > Articles > Published articles > Centers of quasi-homogeneous polynomial differential equations of degree three |
Date: | 2014 |
Abstract: | We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. |
Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 Ministerio de Economía y Competitividad MTM2009-06973 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-859 |
Note: | Agraïments: W. Aziz is financially supported by Ministry of Higher Education and Scientific Research-Iraq. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Quasi-homogeneous polynomial systems ; Centers ; Limit cycles |
Published in: | Advances in mathematics, Vol. 254 (2014) , p. 233-250, ISSN 1090-2082 |
Postprint 15 p, 436.8 KB |