A method for characterizing nilpotent centers
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Additional title:	Algorithmic derivation of nilpotent center
Date:	2014
Abstract:	To characterize when a nilpotent singular point of an analytic differential system is a center is of particular interest, first for the problem of distinguishing between a focus and a center, and after for studying the bifurcation of limit cycles from it or from its period annulus. We give an effective algorithm in the search of necessary conditions for detecting nilpotent centers based in recent developments. Moreover we survey the last results on this problem and illustrate our approach by means of examples.
Grants:	Ministerio de Ciencia e Innovación MTM 2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 318999 European Commission 316338 Ministerio de Economía y Competitividad MTM2011-22877
Note:	El títol de la versió pre-print de l'article és: Algorithmic derivation of nilpotent center
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Nilpotent center ; Degenerate center ; Lyapunov constants ; Bautin method
Published in:	Journal of mathematical analysis and applications, Vol. 413 (2014) , p. 537-545, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2013.12.013

Postprint 14 p, 580.6 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