Topological Entropy and Irregular Recurrence

Topological Entropy and Irregular Recurrence

Year:    2012

Author:    Lenka Obadalová

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 4 : pp. 321–328

Abstract

This paper is devoted to problems stated by Z. Zhou and F. Li in 2009. They concern relations between almost periodic, weakly almost periodic, and quasi-weakly almost periodic points of a continuous map $f$ and its topological entropy. The negative answer follows by our recent paper. But for continuous maps of the interval and other more general one-dimensional spaces we give more results; in some cases the answer is positive.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.3969/j.issn.1672-4070.2012.04.003

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 4 : pp. 321–328

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    topological entropy weakly almost periodic point quasi-weakly almost periodic point.

Author Details

Lenka Obadalová