C1 connecting lemma

被引：65
|
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.
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页码：5213 / 5230
页数：18
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