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
收藏
页码：1203 / 1206
页数：4
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