Chaotic behaviour of uniformly convergent non-autonomous systems with randomly perturbed trajectories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F15%3A%230000504" target="_blank" >RIV/47813059:19610/15:#0000504 - isvavai.cz</a>
Result on the web
<a href="http://www.tandfonline.com/doi/full/10.1080/10236198.2015.1044448" target="_blank" >http://www.tandfonline.com/doi/full/10.1080/10236198.2015.1044448</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2015.1044448" target="_blank" >10.1080/10236198.2015.1044448</a>

Result language
angličtina
Original language name
Chaotic behaviour of uniformly convergent non-autonomous systems with randomly perturbed trajectories
Original language description
We study non-autonomous discrete dynamical systems with randomly perturbed trajectories. We suppose that such a system is generated by a sequence of continuous self-maps of [0, 1](m), where m is a positive integer, and the sequence converges uniformly toa map f. We give conditions, under which a recurrent point of a (standard) autonomous discrete dynamical system generated by the limit function f is also recurrent for the non-autonomous system with randomly perturbed trajectories. We also provide a sufficient condition for a non-autonomous discrete dynamical system defined on the unit interval to be non-chaotic in the sense of Li and Yorke with respect to small random perturbations.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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