Li and Yorke chaos with respect to the cardinality of the scrambled sets

被引：0

作者：

Guirao, JLG ^{[1
]}

Lampart, M

机构：

[1] Univ Castilla La Mancha, Dept Math, Cuenca 16071, Spain

[2] Silesian Univ, Math Inst, Opava 74601, Czech Republic

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 24卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we study Li and Yorke chaos on several spaces in connection with the cardinality of its scrambled sets. We prove that there is a map on a Cantor set and a map on a two-dimensional arcwise connected continuum (with empty interior) such that each scrambled set contains exactly two points. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1203 / 1206

页数：4

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