# Parabolic curves of diffeomorphisms asymptotic to formal invariant curves

Parabolic curves of diffeomorphisms asymptotic to formal invariant curves AbstractWe prove that if F is a tangent to the identity diffeomorphism at 0∈ℂ20\in\mathbb{C}^{2}and Γ is a formal invariant curve of F which is not contained in the set of fixed points thenthere exists a parabolic curve (attracting or repelling) of F asymptotic to Γ. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal für die reine und angewandte Mathematik de Gruyter

# Parabolic curves of diffeomorphisms asymptotic to formal invariant curves

, Volume 2018 (739): 20 – Jun 1, 2018
20 pages

/lp/degruyter/parabolic-curves-of-diffeomorphisms-asymptotic-to-formal-invariant-XQZILuvqMN
Publisher
De Gruyter
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1435-5345
eISSN
1435-5345
D.O.I.
10.1515/crelle-2015-0064
Publisher site
See Article on Publisher Site

### Abstract

AbstractWe prove that if F is a tangent to the identity diffeomorphism at 0∈ℂ20\in\mathbb{C}^{2}and Γ is a formal invariant curve of F which is not contained in the set of fixed points thenthere exists a parabolic curve (attracting or repelling) of F asymptotic to Γ.

### Journal

Journal für die reine und angewandte Mathematikde Gruyter

Published: Jun 1, 2018

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