Chaos on hyperspace

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00392926" target="_blank" >RIV/67985556:_____/13:00392926 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218127413500843" target="_blank" >http://dx.doi.org/10.1142/S0218127413500843</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127413500843" target="_blank" >10.1142/S0218127413500843</a>

Result language
angličtina
Original language name
Chaos on hyperspace
Original language description
In this paper, the chaotic behavior of a set-valued mapping F : X 2X, where X is a compact space, is investigated. The existence of the generalized shadowing property in the hyperspace 2X is proved. Based on the generalized shadowing property of the set-valued mappings F and the assumption of the existence of an unstable chain recurrent point of the mapping F, it is shown that the Bernoulli system of bi-directional shifts is embedded in the sense of semiconjugacy into the image of mapping F, i.e. Smale?s chaos in the set-valued system F is thereby proved.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
—

Project
<a href="/en/project/GA13-20433S" target="_blank" >GA13-20433S: Analysis and control of globally decomposed strongly nonlinear state space dynamical models with complex interactions of their components</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)