On the C-1 stability conjecture for flows

被引：53

作者：

Wen, L

机构：

[1] GEORGIA INST TECHNOL,CDSNS,ATLANTA,GA 30332

[2] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

[3] NORTHWESTERN UNIV,DEPT MATH,EVANSTON,IL 60208

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1996年 / 129卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1006/jdeq.1996.0121

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a proof of the C-1 stability conjecture of Palls and Smale for flows, which has reduced to proving that C-1 structural stability implies Axiom A. The proof is based on the fundamental work of Liao and Mane, and on the recent powerful C-1 connecting lemma of Hayashi. (C) 1996 Academic Press, Inc.

引用

页码：334 / 357

页数：24

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