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
收藏
页码：158 / 165
页数：8
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