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Volume 28, Issue 4
Topological Entropy and Irregular Recurrence

Lenka Obadalová

DOI: 10.3969/j.issn.1672-4070.2012.04.003

Anal. Theory Appl., 28 (2012), pp. 321-328.

Published online: 2012-12

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  • 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.

  • Keywords

topological entropy, weakly almost periodic point, quasi-weakly almost periodic point.

  • AMS Subject Headings

37B20, 37B40, 47D45, 37D05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-28-321, author = {Lenka Obadalová , }, title = {Topological Entropy and Irregular Recurrence}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.04.003}, url = {http://global-sci.org/intro/article_detail/ata/4568.html} }
TY - JOUR T1 - Topological Entropy and Irregular Recurrence AU - Lenka Obadalová , JO - Analysis in Theory and Applications VL - 4 SP - 321 EP - 328 PY - 2012 DA - 2012/12 SN - 28 DO - http://doi.org/10.3969/j.issn.1672-4070.2012.04.003 UR - https://global-sci.org/intro/article_detail/ata/4568.html KW - topological entropy, weakly almost periodic point, quasi-weakly almost periodic point. AB -

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.

Lenka Obadalová , . (2012). Topological Entropy and Irregular Recurrence. Analysis in Theory and Applications. 28 (4). 321-328. doi:10.3969/j.issn.1672-4070.2012.04.003
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