Topological chaos: what may this mean?

被引：32

作者：

Blanchard, Francois ^{[1
]}

机构：

[1] CNRS U Marne la Vallee, Lab Analyse & Math Appl, Marne La Vallee 2, France

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2009年 / 15卷 / 01期

关键词：

chaos; order; partial chaos; scrambled set; sensitivity; weak mixing; SENSITIVE DEPENDENCE; ENTROPY; SYSTEMS; SETS;

D O I：

10.1080/10236190802385355

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We confront existing definitions of chaos with the state of the art in topological dynamics. The article does not propose any new definition of chaos but, starting from several topological properties that can be reasonably called chaotic, tries to sketch a theoretical view of chaos. Among the main ideas in this article are the distinction between overall chaos and partial chaos, and the fact that some dynamical properties may be considered more chaotic than others.

引用

页码：23 / 46

页数：24

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