Minimality and distributional chaos in triangular maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000171" target="_blank" >RIV/47813059:19610/24:A0000171 - isvavai.cz</a>
Result on the web
<a href="https://www.tandfonline.com/doi/full/10.1080/10236198.2023.2293114" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/10236198.2023.2293114</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2023.2293114" target="_blank" >10.1080/10236198.2023.2293114</a>

Result language
angličtina
Original language name
Minimality and distributional chaos in triangular maps
Original language description
The result of this paper contributes to the classification of triangular maps of the square with zero topological entropy stated by A. N. Sharkovsky in the 1980s. The problem was if a triangular map of the square such that its any omega-limit set contains unique minimal set can be distributionally chaotic. So far such result was disproved only for the class of triangular maps non-decreasing on fibres [L. Paganoni, J. Smital, Strange distributionally chaotic triangular maps, Chaos Solitons Fractals 26(2) (2005), pp. 581-589]. In this paper, we solve the problem in negative for all triangular maps of the square, correcting the original result from Balibrea and Smital [Strong distributional chaos and minimal sets, Topology appl. 156 (2009), pp. 1673-1678].
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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