BIZARRE TOPOLOGY IS NATURAL IN DYNAMICAL-SYSTEMS

被引：14

作者：

KENNEDY, JA ^{[1
]}

YORKE, JA ^{[1
]}

机构：

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

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 32卷 / 03期

关键词：

INDECOMPOSABLE CONTINUUM; HEREDITARILY INDECOMPOSABLE CONTINUUM; DYNAMICAL SYSTEM; COMPLICATED INVARIANT SET; C-INFINITY;

D O I：

10.1090/S0273-0979-1995-00599-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an example of a C(infinity) diffeomorphism on a 7-manifold which has a compact invariant set such that uncountably many of its connected components are pseudocircles. (Any 7-manifold will suffice.) Furthermore, any diffeomorphism which is sufficiently close (in the C1 metric) to the constructed map has a similar invariant set, and the dynamics of the map on the invariant set are chaotic.

引用

页码：309 / 316

页数：8

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