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Invariant manifolds, conjugacies and blow-up

Published online by Cambridge University Press:  02 April 2001

MARC CHAPERON  and
FABIENNE COUDRAY
MARC CHAPERON
Affiliation:
Institut de mathématiques, UMR C9994 du CNRS, Université Paris 7, UFR de mathématiques, CASE 7012, 2, place Jussieu F—75251 Paris Cedex 05, France
FABIENNE COUDRAY
Affiliation:
Institut de mathématiques, UMR C9994 du CNRS, Université Paris 7, UFR de mathématiques, CASE 7012, 2, place Jussieu F—75251 Paris Cedex 05, France
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Abstract

Using a very simple blow-up, we show how to extend the stable and pseudo-stable manifold theorems so as to get (a Banach version of) Sternberg's local conjugacy results for hyperbolic diffeomorphisms [9, 10].

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 4 , August 1997 , pp. 783 - 791
Copyright
© 1997 Cambridge University Press

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