On the global stable manifold

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Banach setting gives rise to subtle questions about the possibility of extending germs of diffeomorphisms.
18 pages, LaTeX2e file. Revised version (corrected typos, introduction slightly extended). To appear in Studia Mathematica

Keywords

Dynamical Systems, Functional Analysis, 37D10; 46B20; 58B10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/99496

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506292
 http://arxiv.org/abs/math/0506292
 Studia Math. 177 (2006), 113-131.

Collections

arXiv