Snap-back repellers and scrambled sets in general topological spaces

被引：6

作者：

Boyarsky, A ^{[1
]}

Góra, P ^{[1
]}

Lioubimov, V ^{[1
]}

机构：

[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 05期

关键词：

snap-back repeller; continuous invariant measures; scrambled set; 2-adic transformation;

D O I：

10.1016/S0362-546X(99)00221-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concepts of a snap-back repeller and various scrambled sets for a continuous transformation from a general Hausdorff topological space to itself was introduced and that chaotic behavior of a transformation with a snap-back repeller arises from its two adicity. Proofs for the theorems for snap-back repellers and scrambled sets are presented.

引用

页码：591 / 604

页数：14