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The Lipschitzian core of some invariant manifold theorems

Published online by Cambridge University Press:  01 October 2008

MARC CHAPERON
MARC CHAPERON*
Affiliation:
Institut de mathématiques de Jussieu and Université Paris 7, UFR de mathématiques, Site Chevaleret, CASE 7012, 75205 Paris Cedex 13, France (email: [email protected])
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Abstract

In the Michael Herman Memorial Volume, we stated and proved some rather simple invariant-manifold theorems, having many old and new applications. This paper presents the final state of the Lipschitzian part of the theory: the results are put into a more general framework and new properties are established. Both the hypotheses and the proofs of all our statements are quite simple. Smoothness will be treated as in Chaperon [Stable manifolds and the Perron–Irwin method. Ergod. Th. & Dynam. Sys.24 (2004), 1359–1394] in a forthcoming book.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 5 , October 2008 , pp. 1419 - 1441
Copyright
Copyright © 2008 Cambridge University Press

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