Period three implications for expansive maps in RN

被引：4

作者：

Andres, J ^{[1
]}

机构：

[1] Palacky Univ, Fac Sci, Dept Math Anal & Appl Math, Olomouc 77900, Czech Republic

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 01期

关键词：

Li-Yorke's theorem; multidimensional version; periodic points; period three implications; expansive maps;

D O I：

10.1080/1023619031000114314

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A multidimensional version of the Li-Yorke cycle coexisting theorem [Li, T.-Y. and Yorke, J.A. "Period three implies chaos", Am. Math. Monthly , 82 , 985-992] is established for certain (e.g. expansive) maps. The related fixed- and periodic-point theorems are developed in R n . Implications of 3-orbits are discussed.

引用

页码：17 / 28

页数：12

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