Home > Articles > Published articles > Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2 |
Date: | 2016 |
Abstract: | We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica. |
Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 318999 European Commission 316338 |
Note: | Agraïments: FEDER-UNAB-10-4E-378, and a CAPES grant number 88881. 030454/2013-01 from the program CSF-PVE and CNPq grant "Projeto Universal 472796/2013-5". The second author is supported by CAPES/GDU-7500/13-0. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Averaging theory ; Limit cycle ; Polinomial vector field ; Weight-homogeneous differential system |
Published in: | Applied Mathematics and Computation, Vol. 274 (2016) , p. 47-54, ISSN 1873-5649 |
Postprint 12 p, 584.1 KB |