PSEUDOCIRCLES IN DYNAMICAL-SYSTEMS

被引：15

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

共 11 条

[1]

BING RH, 1951, PACIFIC J MATH, V1

[2] PSEUDO-CIRCLE IS UNIQUE [J].

FEARNLEY, L .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (02) :398-&

[3] PSEUDO-CIRCLE IS NOT HOMOGENEOUS [J].

FEARNLEY, L .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (03) :554-&

[4] A PATHOLOGICAL AREA PRESERVING C-INFINITY DIFFEOMORPHISM OF THE PLANE [J].

HANDEL, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (01) :163-168

[5]

HERMAN MR, 1986, J LOND MATH SOC, V34, P375

[6] ORBITS OF THE PSEUDOCIRCLE [J].

KENNEDY, J ;

ROGERS, JT .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 296 (01) :327-340

[7]

KRASINKIEWICZ J, MAPPING PROPERTIES H

[8]

MOECKEL R, 1985, COMPLEX VARIABLES TH, V4, P285

[9]

OVERSTEEN LG, 1986, BANACH CTR PUBL, V18, P403

[10]

POMMERENKE C, 1985, COMPLEX VARIABLES TH, V4, P223

← 1 2 →