PSEUDOCIRCLES IN DYNAMICAL-SYSTEMS

被引：16

作者：

KENNEDY, JA ^{[1
]}

YORKE, JA ^{[1
]}

机构：

[1] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 343卷 / 01期

关键词：

INDECOMPOSABLE INVARIANT SET; PSEUDOCIRCLE; C-INFINITY MAP; PERTURBABLE DYNAMICAL SYSTEM;

D O I：

10.2307/2154536

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an example of a C(infinity) map on a 3-manifold which has an invariant set with an uncountable number of components, each of which is a pseudocircle. Furthermore, any map which is sufficiently close (in the C1-metric) to the constructed map has a similar set.

引用

页码：349 / 366

页数：18

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