Stable manifolds and the Perron-Irwin method

被引：14

作者：

Chaperon, M ^{[1
]}

机构：

[1] Univ Paris 07, Inst Math Jussieu Geometrie & Dynam, UFR Math, CASE 7012, F-75251 Paris 05, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2004年 / 24卷

关键词：

D O I：

10.1017/S0143385703000701

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish rather general and simple theorems implying, among other 14 things, the pseudo-(un)stable manifold theorem, Sternberg's theorem on smooth conjugacy between hyperbolic germs of maps or vector fields, and results of Fenichel, Hirsch, Pugh and Shub on existence, uniqueness and structural stability of stable or unstable manifolds at compact invariant manifolds. The Perron-Irwin approach via sequence spaces plays a crucial role.

引用

页码：1359 / 1394

页数：36