On open problems concerning distributional chaos for triangular maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F11%3A%230000297" target="_blank" >RIV/47813059:19610/11:#0000297 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0362546X11005347" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0362546X11005347</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2011.07.052" target="_blank" >10.1016/j.na.2011.07.052</a>

Result language
angličtina
Original language name
On open problems concerning distributional chaos for triangular maps
Original language description
We show that in the class T of the triangular maps (x, y) bar right arrow (f(x), g(x)(y)) of the square there is a map of type 2(infinity) with non-minimal recurrent points which is not DC3. We also show that every DC1 continuous map of a compact metricspace has a trajectory which cannot be (weakly) approximated by trajectories of compact periodic sets. These two results make possible to answer some open questions concerning classification of maps in T with zero topological entropy, and contribute to an old problem formulated by A.N. Sharkovsky.
Czech name
—
Czech description
—

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
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)