Parabolic curves of diffeomorphisms asymptotic to formal invariant curves-Reference-Cited by-同舟云学术

Parabolic curves of diffeomorphisms asymptotic to formal invariant curves

Published:2018-06-01 Issue:739 Volume:2018 Page:277-296
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:
Short-container-title:

Author:

López-Hernanz Lorena,Sanz Sánchez Fernando

Abstract

AbstractWe prove that ifFis a tangent to the identity diffeomorphism at

0\in\mathbb{C}^{2}

and Γ is a formal invariant curve ofFwhich is not contained in the set of fixed points then there exists a parabolic curve (attracting or repelling) ofFasymptotic to Γ.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Ministerio de Educación y Cultura

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2015-0064/pdf

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