On the center conditions for analytic monodromic degenerate singularities

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Título:	On the center conditions for analytic monodromic degenerate singularities
Autor/a:	Giné, Jaume; Llibre, Jaume
Notas:	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. The first author is partially supported by a MCYT/FEDER grant number MTM2008-00694 and by a CIRIT grant number 2009SGR 381. The second author is partially supported by a MCYT/FEDER grant number MTM2008-03437, by a CIRIT grant number 2009SGR 410 and by ICREA Academia.
Derechos:	(c) World Scientific Publishing, 2012
Tipo de documento:	article submittedVersion
Editor:	World Scientific Publishing
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