Home > Articles > Published articles > Center cyclicity of a family of quartic polynomial differential system |
Date: | 2016 |
Abstract: | In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as \[ = i z z (A z^2 B z C ^2 ),\] where A,B,C C. We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove that this upper bound is sharp. |
Grants: | Ministerio de Economía y Competitividad MTM2014-53703-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1204 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Algebraic limit cycles ; Bautin ideal ; Center ; Cyclicity ; Polynomial vector fields |
Published in: | NoDEA : Nonlinear Differential Equations and Applications, Vol. 23 Núm. 34 (2016) , p. 10 pages, ISSN 1420-9004 |
Postprint 10 p, 652.0 KB |