POSITIVE UPPER DENSITY POINTS AND CHAOS

被引：0
|
作者：
Yin Jiandong [1 ]
Zhou Zouling [2 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
[2] Sun Yat Sen Univ, Lingnan Coll, Guangzhou 510275, Guangdong, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 04期
关键词：
measure center; E-system; chaos; DEVANEYS CHAOS; STOCHASTIC PROPERTIES; PERIODIC POINT;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we mainly investigate the problem of complexity for a topologically dynamical system (X, f). We prove that f has a full measure center if there exists a countable base {U-i}(i=0)(infinity) of X satisfying that, for any i, there is y in X such that N(y, U-i) is a positive Banach upper density set. Moreover, we consider the chaotic property of (X, f). We show that such a system is chaotic in the sense of Takens-Ruelle if it is transitive but not minimal.
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页码：1408 / 1414
页数：7
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