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
收藏
页码：785 / 787
页数：3
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