Topological sequence entropy for maps of the interval

被引：7

作者：

Hric, R ^{[1
]}

机构：

[1] Matej Bel Univ, Fac Nat Sci, Dept Math, SK-97401 Banska Bystrica, Slovakia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 07期

关键词：

adding machine; blowing up orbits; chaotic map; topological sequence entropy;

D O I：

10.1090/S0002-9939-99-04799-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A result by Franzova a and Smital shows that a continuous map of the interval into itself is chaotic if and only if its topological sequence entropy relative to a suitable increasing sequence of nonnegative integers is positive. In the present paper we prove that for any increasing sequence of nonnegative integers there exists a chaotic continuous map with zero topological sequence entropy relative to this sequence.

引用

页码：2045 / 2052

页数：8

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