PERTURBATIONS OF ATTRACTORS OF DIFFERENTIAL-EQUATIONS

被引：27

作者：

PLISS, VA ^{[1
]}

SELL, GR ^{[1
]}

机构：

[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1991年 / 92卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-0396(91)90066-I

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study small C1-perturbations of a differential equation that has a hyperbolic attractor K. We show that if K has a suitable Lipschitz property and if the perturbation is small enough, then there is a homeomorphism H : K→KY, where KY is a hyperbolic attractor for the perturbed equation. Examples are included. © 1991.

引用

页码：100 / 124

页数：25

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Carr J., 1981, APPL CTR MANIFOLD TH

[3]

FENICHEL N, 1971, INDIANA U MATH J, V21, P193

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