Chaos and the shadowing property

被引：16
|
作者：
Koscielniak, Piotr
Mazur, Marcin
机构：
[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland
[2] State Higher Vocat Sch Nowy Sacz, PL-33300 Nowy Sacz, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 13期
关键词：
(periodic weak orbital) shadowing property; (discrete) dynamical system; generic property; symbolic dynamics;
D O I：
10.1016/j.topol.2006.06.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present, as a simpler alternative for the results of [P. Koscielniak, On genericity of shadowing and periodic shadowing property, J. Math. Anal. Appl. 310 (2005) 188-196; P. Koscielniak, M. Mazur, On C-0 genericity of various shadowing properties, Discrete Contin. Dynam. Syst. 12 (2005) 523-530], an elementary proof of C-0 genericity of the periodic shadowing property. We also characterize chaotic behavior (in the sense of being semiconjugated to a shift map) of shadowing systems. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2553 / 2557
页数：5
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