Specification property for step skew products

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:500

Article

Snoha, Lubomir¹ 

[1] Matej Bel Univ, Fac Nat Sci, Dept Math, Tajovskeho 40, Banska Bystrica 97401, Slovakia

关键词: Specification property;    Step skew product;    Subshift;    Interval map;    Nonautonomous dynamical system;   

DOI  :  10.1016/j.jmaa.2021.125112

来源: Elsevier

【 摘 要 】

Step skew products with interval fibres and a subshift as a base are considered. It is proved that if the fibre maps are continuous, piecewise monotone, expanding and surjective and the subshift has the specification property and a periodic orbit such that the composition of the fibre maps along this orbit is mixing, then the corresponding step skew product has the specification property. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free