Omega limit sets and distributional chaos on graphs

被引：30

作者：

Hric, Roman

Malek, Michal

机构：

[1] Matej Bel Univ, Fac Nat Sci, Inst Math & Comp Sci, SK-97401 Banska Bystrica, Slovakia

[2] Inst Super Tecn, Ctr Math Anal Geometry & Dynam Syst, P-1049001 Lisbon, Portugal

[3] Silesian Univ, Math Inst, CZ-74601 Opava, Czech Republic

来源：

TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 14期

关键词：

graph map; omega limit set; basic set; distributional chaos; positive topological entropy;

D O I：

10.1016/j.topol.2005.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：2469 / 2475

页数：7

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