Chaotic Examples in Low-Dimensional Topology

被引：0

作者：

Garity, Dennis J. ^{[1
]}

Repovs, Dusan ^{[2
]}

机构：

[1] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA

[2] Univ Ljubljana, Fac Math & Phys, Ljubljana SI-1000, Slovenia

来源：

LET'S FACE CHAOS THROUGH NONLINEAR DYNAMICS | 2012年 / 1468卷

基金：

美国国家科学基金会;

关键词：

Chaos; Topology; Inverse System; Whitehead Continuum; Dynamical System; SPACES; MAPS;

D O I：

10.1063/1.4745578

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Our earlier paper provided an introduction to basic ideas relating topological techniques to chaos theory. In the present paper we provide additional details on a number of these techniques. We go into more detail on properties of inverse limits related to chaos. In particular, we provide a detailed outline of the result of Jubran on producing a chaotic embedding of the Whitehead continuum. This paper was partially motivated by a talk given by the second author at the 8th international summer school and conference Chaos 2011: Let's Face Chaos Through Nonlinear Dynamics (CAMTP, University of Maribor, Slovenia, 26 June - 10 July 2011).

引用

页码：158 / 165

页数：8

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