On the center conditions for analytic monodromic degenerate singularities
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2012
Abstract:	In this paper we present two methods for detecting centers of monodromic degenerate singularities of planar analytic vector fields. These methods use auxiliary symmetric vector fields can be applied independently that the singularity is algebraic solvable or not, or has characteristic directions or not. We remark that these are the first methods which allows to study monodromic degenerate singularities with characteristic directions.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-00694 Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-381
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Degenerate center ; First integral ; Bautin method ; Algebraically solvable
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 2 (2012) , p. 1250303 (11 pp.), ISSN 1793-6551

DOI: 10.1142/S0218127412503038

Postprint 18 p, 589.4 KB

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