Parametric topological entropy of families of multivalued maps in topological spaces and induced hyperspace maps

被引：4

作者：

Andres, Jan ^{[1
]}

Ludvik, Pavel ^{[1
]}

机构：

[1] Palacky Univ, Fac Sci, Dept Math Anal & Applicat Math, 17 Listopadu 12, Olomouc 77146, Czech Republic

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 125卷

关键词：

Parametric topological entropy; Multivalued nonautonomous maps; Topological Hausdorff spaces; Hyperspaces; Induced hypermaps; CHAOS;

D O I：

10.1016/j.cnsns.2023.107395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A positive parametric topological entropy is examined whether or not it is preserved from given continuous maps to the induced hyperspace maps. An established affirma-tive answer generalizes all the related results obtained in this field so far, because the continuous maps under consideration can be multivalued and nonautonomous (time-dependent) in compact topological Hausdorff spaces. A variety of definitions of parametric topological entropy for multivalued maps is investigated, together with their properties. Several simple illustrative examples are supplied.& COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：16

共 40 条

[1] TOPOLOGICAL ENTROPY [J].