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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| container_end_page | 296 |
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| container_issue | 739 |
| container_start_page | 277 |
| container_title | Journal für die reine und angewandte Mathematik |
| container_volume | 2018 |
| creator | López-Hernanz, Lorena Sanz Sánchez, Fernando |
| description | 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. |
| doi_str_mv | 10.1515/crelle-2015-0064 |
| format | Article |
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| identifier | ISSN: 0075-4102 |
| ispartof | Journal für die reine und angewandte Mathematik, 2018-06, Vol.2018 (739), p.277-296 |
| issn | 0075-4102 1435-5345 |
| language | eng |
| recordid | cdi_crossref_primary_10_1515_crelle_2015_0064 |
| source | De Gruyter journals |
| title | Parabolic curves of diffeomorphisms asymptotic to formal invariant curves |
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