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

共 50 条

[41] Recurrence determinism and Li-Yorke chaos for interval maps
Spitalsky, Vladimir
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2019, 34 (01): : 53 - 70
[42] Pinsker σ-Algebra Character and Mean Li-Yorke Chaos
Liu, Chunlin
Xiao, Rongzhong
Xu, Leiye
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024,
[43] Diffeomorphisms with positive entropy and chaos in the sense of Li-Yorke
Sumi, N
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2003, 23 : 621 - 635
[44] Li-Yorke chaos in a class of nonautonomous discrete systems
Canovas, Jose S.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (04) : 479 - 486
[45] TRANSITIVITY, ENTROPY AND LI-YORKE CHAOS OF MULTIPLE MAPPINGS
Zhao, Yingcui
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (02): : 85 - 96
[46] TRANSITIVITY, ENTROPY AND LI-YORKE CHAOS OF MULTIPLE MAPPINGS
Zhao, Yingcui
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, 86 (02): : 85 - 96
[47] Mean Li-Yorke chaos for random dynamical systems
Wang, Yunping
Chen, Ercai
Zhou, Xiaoyao
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (04) : 2239 - 2260
[48] Li-Yorke chaos translation set for linear operators
Hou, Bingzhe
Luo, Lvlin
ARCHIV DER MATHEMATIK, 2018, 111 (03) : 267 - 278
[49] The limit shadowing property and Li-Yorke's chaos
Lee, Manseob
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2016, 9 (01)
[50] Li–Yorke chaos on one-dimensional map lattices
Lili Wei
Chenxing Zhou
Advances in Difference Equations, 2019

← 1 2 3 4 5 →