C1 connecting lemma

被引：66

作者：

Wen, L ^{[1
]}

Xia, ZH

机构：

[1] Peking Univ, Dept Math, Beijing 100871, Peoples R China

[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 11期

关键词：

D O I：

10.1090/S0002-9947-00-02553-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Like the closing lemma, the connecting lemma is of fundamental importance in dynamical systems. Hayashi recently proved the C-1 connecting lemma for stable and unstable manifolds of a hyperbolic invariant set. In this paper, we prove several very general C-1 connecting lemmas. We simplify Hayashi's proof and extend the results to more general cases.

引用

页码：5213 / 5230

页数：18

共 16 条

[1]

[Anonymous], J DYNAM DIFFERENTIAL

[2] Connecting invariant manifolds and the solution of the C-1 stability and Omega-stability conjectures for flows [J].