Constant-length substitutions and countable scrambled sets

被引：18
|
作者：
Blanchard, F
Durand, F
Maass, A
机构：
[1] CNRS, FRUMAM, UPR 9016, Inst Math Luminy, F-13288 Marseille 09, France
[2] Univ Picardie, CNRS, UMR 6140, Lab Amienois Math Fondamentales & Appl, F-80000 Amiens, France
[3] Univ Chile, Dept Ingn Matemat, Santiago, Chile
[4] UCHILE, CNRS, UMR 2071, Ctr Modelamiento Matemat, Santiago, Chile
来源：
NONLINEARITY | 2004年 / 17卷 / 03期
关键词：
D O I：
10.1088/0951-7715/17/3/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of Li-Yorke, asymptotic and distal pairs in constant-length substitution dynamical systems. Starting from a circle rotation, we also construct a dynamical system having Li-Yorke pairs, none of which is recurrent.
引用
收藏
页码：817 / 833
页数：17
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