Title of article
Omega limit sets and distributional chaos on graphs
Author/Authors
Hric، نويسنده , , Roman and Mلlek، نويسنده , , Michal، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2006
Pages
7
From page
2469
To page
2475
Abstract
We give a full topological characterization of omega limit sets of continuous maps on graphs and we show that basic sets have similar properties as in the case of the compact interval. We also prove that the presence of distributional chaos, the existence of basic sets, and positive topological entropy (among other properties) are mutually equivalent for continuous graph maps.
Keywords
Graph map , Omega limit set , Basic set , Positive topological entropy , Distributional chaos
Journal title
Topology and its Applications
Serial Year
2006
Journal title
Topology and its Applications
Record number
1580888
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