An extension of Sharkovsky's theorem to periodic difference equations

被引：34

作者：

Alsharawi, Z

Angelos, J

Elaydi, S ^{[1
]}

Rakesh, L

机构：

[1] Trinity Univ, San Antonio, TX 78212 USA

[2] Cent Michigan Univ, Mt Pleasant, MI 48858 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 01期

关键词：

periodic orbits; difference equations; geometric cycles; skew-product dynamical systems; nonautonomous;

D O I：

10.1016/j.jmaa.2005.04.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an extension of Sharkovsky's theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric cycle with or without stability properties. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：128 / 141

页数：14

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