On Dynamics of Triangular Maps of the Square with Zero Topological Entropy

被引：0

作者：

Pravec, Vojtech ^{[1
]}

机构：

[1] Silesian Univ, Math Inst Opava, Opava, Czech Republic

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2019年 / 18卷 / 03期

关键词：

Triangular maps; Topological entropy; Topological sequence entropy; LY-scrambled triple; 54H20; 37B40; 37O45; CHAOS;

D O I：

10.1007/s12346-018-00311-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that, for interval maps, zero topological entropy is equivalent with bounded topological sequence entropy as well as with the non-existence of Li-Yorke scrambled triples. In this paper we answer the question how the situation changes when triangular maps of the unit square are concerned instead of interval maps.

引用

页码：761 / 768

页数：8

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