Parabolic curves of diffeomorphisms asymptotic to formal invariant curves
We prove that if is a tangent to the identity diffeomorphism at and Γ is a formal invariant curve of which is not contained in the set of fixed points then there exists a parabolic curve (attracting or repelling) of asymptotic to Γ.
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| Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2018-06, Vol.2018 (739), p.277-296 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove that if
is a tangent to the identity diffeomorphism at
and Γ is a formal invariant curve of
which is not contained in the set of fixed points then
there exists a parabolic curve (attracting or repelling) of
asymptotic to Γ. |
|---|---|
| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/crelle-2015-0064 |