Shadowing, asymptotic shadowing and s-limit shadowing

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA20021YO" target="_blank" >RIV/61988987:17610/19:A20021YO - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.4064/fm492-5-2018" target="_blank" >https://doi.org/10.4064/fm492-5-2018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/fm492-5-2018" target="_blank" >10.4064/fm492-5-2018</a>

Result language
angličtina
Original language name
Shadowing, asymptotic shadowing and s-limit shadowing
Original language description
We study three notions of shadowing: classical shadowing, limit (or asymptotic) shadowing, and s-limit shadowing. We show that classical and s-limit shadowing coincide for tent maps and, more generally, for piecewise linear interval maps with constant slopes, and are further equivalent to the linking property introduced by Chen in 1991. We also construct a system which exhibits shadowing but not limit shadowing, and we study how shadowing properties transfer to maximal transitive subsystems and inverse limits (sometimes called natural extensions). Where practicable, we show that our results are best possible by means of examples.
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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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