On ω-limit sets of antitriangular maps

被引：14
|
作者：
Balibrea, F
Linero, A
Cánovas, JS
机构：
[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain
[2] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Murcia 30203, Spain
来源：
TOPOLOGY AND ITS APPLICATIONS | 2004年 / 137卷 / 1-3期
关键词：
discrete dynamical system; omega-limit set; Cournot duopoly; periodic rectangles; nowhere dense set;
D O I：
10.1016/S0166-8641(03)00195-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a topological characterization of omega-limit sets of continuous antitriangular maps, that is, maps F: [0, 1](2) --> [0, 1](2) with the form F(x, y) = (f(2)(y), f(1)(x)), (x, y) is an element of I-2. We also point out some differences between omega-limit set of antitriangular and one-dimensional maps. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：13 / 19
页数：7
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