Uniform convergence and chaotic behavior (vol 65, pg 933, 2006)

被引：3

作者：

Abu-Saris, Raghib M. ^{[3
]}

Martinez-Gimenez, Felix ^{[1
,2
]}

Peris, Alfredo ^{[1
,2
]}

机构：

[1] Univ Politecn Valencia, ETSE Agronoms, Dept Matemat Aplicada, E-46022 Valencia, Spain

[2] Univ Politecn Valencia, ETSE Agronoms, IMPA UPV, E-46022 Valencia, Spain

[3] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 05期

关键词：

topological transitivity; chaos;

D O I：

10.1016/j.na.2007.09.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present counterexamples which show that the uniform limit of topologically transitive maps on a compact metric space is not necessarily topologically transitive. We also give stronger conditions that ensure the inheritance of topological transitivity for the case of uniform convergence and other situations. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1406 / 1407

页数：2