On a problem of iteration invariants for distributional chaos

被引：10

作者：

Dvorakova, J. ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 02期

关键词：

Distributional chaos; Iteration invariant; Continuous maps; Compact metric space; 3; VERSIONS;

D O I：

10.1016/j.cnsns.2011.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that if f is a DC3 continuous map of a compact metric space then also f(N) is DC3, for every N > 0. This solves a problem given by [Li R. A note on the three versions of distributional chaos. Commun Nonlinear Sci Numer Simulat 2011:16:1993-1997]. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：785 / 787

页数：3

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