Parabolic curves of diffeomorphisms asymptotic to formal invariant curves

López Hernanz, Lorena; Sanz Sánchez, Fernando

doi:10.1515/crelle-2015-0064

Por favor, use este identificador para citar o enlazar este ítem:https://uvadoc.uva.es/handle/10324/68175

Título

Parabolic curves of diffeomorphisms asymptotic to formal invariant curves

Autor

López Hernanz, Lorena

Sanz Sánchez, Fernando

Año del Documento

2018

Editorial

De Gruyter

Documento Fuente

J. reine angew. Math. 739 (2018), 277–296

Résumé

We prove that if F is a tangent to the identity diffeomorphism at (C2,0) and \Gamma is a formal invariant curve of F which is not contained in the set of fixed points then there exists a parabolic curve (attracting or repelling) of F asymptotic to \Gamma.

ISSN

0075-4102

Revisión por pares

DOI

10.1515/crelle-2015-0064

Patrocinador

The first author was partially supported by CNPq, Brazil, process 479134/2013-8. Both authors were partially supported by Ministerio de Educación y Cultura, Spain, process MTM2013-46337-C2-1-P, and by Programa Hispano-Brasileño de Cooperación Interuniversitaria, process PHB2010-0122-PC