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Parabolic curves of diffeomorphisms asym...

López-Hernanz, Lore...

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Parabolic curves of diffeomorphisms asymptotic to formal invariant curves by López-Hernanz, Lorena ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	11-11-2014
Summary	We prove that if F is a tangent to the identity diffeomorphism at 0∈C2 and Γ is a formal invariant curve of F then there exists a parabolic curve (attracting or repelling) of F asymptotic to Γ. The result is a consequence of a more general one in arbitrary dimension, where we prove the existence of parabolic curves of a tangent to the identity diffeomorphism F at 0∈Cn asymptotic to a given formal invariant curve under some additional conditions, expressed in terms of a reduction of F to a special normal form by means of blow-ups and ramifications along the formal curve.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1411.2945

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AMA 11th EditionReferences

López-Hernanz, Lorena. Parabolic curves of diffeomorphisms asymptotic to formal invariant curves. N.A. November 11, 2014. Accessed October 02, 2025. https://online.provdatabase.com/cite/18136

APA 7th EditionReferences

López-Hernanz, Lorena. (2014). Parabolic curves of diffeomorphisms asymptotic to formal invariant curves. N.A. https://online.provdatabase.com/cite/18136

Chicago 17th EditionReferences

López-Hernanz, Lorena. Parabolic curves of diffeomorphisms asymptotic to formal invariant curves. N.A. 2014. https://online.provdatabase.com/cite/18136

HarvardReferences

López-Hernanz, Lorena. (2014). Parabolic curves of diffeomorphisms asymptotic to formal invariant curves. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18136. (Accessed 02 October 2025).

Harvard AustraliaReferences

López-Hernanz, Lorena, 2014, Parabolic curves of diffeomorphisms asymptotic to formal invariant curves, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/18136>

MLA 9th EditionWorks Cited

López-Hernanz, Lorena. Parabolic curves of diffeomorphisms asymptotic to formal invariant curves. N.A, 2014. PROV Database, https://online.provdatabase.com/cite/18136.

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