Chaos on one-dimensional compact metric spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F12%3A%230000355" target="_blank" >RIV/47813059:19610/12:#0000355 - isvavai.cz</a>
Result on the web
<a href="http://www.worldscientific.com/doi/abs/10.1142/S0218127412502598" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0218127412502598</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127412502598" target="_blank" >10.1142/S0218127412502598</a>

Result language
angličtina
Original language name
Chaos on one-dimensional compact metric spaces
Original language description
We consider various kinds of chaotic behavior of continuous maps on compact metric spaces: the positivity of topological entropy, the existence of a horseshoe, the existence of a homoclinic trajectory (or perhaps, an eventually periodic homoclinic trajectory), three levels of Li Yorke chaos, three levels of omega-chaos and distributional chaos of type 1. The relations between these properties are known when the space is an interval. We survey the known results in the case of trees, graphs and dendrites.
Czech name
—
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
—

Project
<a href="/en/project/GAP201%2F10%2F0887" target="_blank" >GAP201/10/0887: Discrete dynamical systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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