Invariant manifolds, conjugacies and blow-up

Author:

CHAPERON MARC,COUDRAY FABIENNE

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].

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices;Journal of Dynamics and Differential Equations;2021-01-09

2. The Lipschitzian core of some invariant manifold theorems;Ergodic Theory and Dynamical Systems;2008-10

3. Differentiability and Composite Functions;Singularity Theory;2007-02

4. Diffusion times and stability exponents for nearly integrable analytic systems;Central European Journal of Mathematics;2005-09

5. Stable manifolds and the Perron–Irwin method;Ergodic Theory and Dynamical Systems;2004-10

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