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