The Sharkovsky Theorem: A Natural Direct Proof

被引：17

作者：

Burns, Keith ^{[1
]}

Hasselblatt, Boris ^{[2
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[2] Tufts Univ, Dept Math, Medford, MA 02155 USA

来源：

AMERICAN MATHEMATICAL MONTHLY | 2011年 / 118卷 / 03期

基金：

美国国家科学基金会;

关键词：

PERIODIC POINTS; LINE;

D O I：

10.4169/amer.math.monthly.118.03.229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a natural and direct proof of a famous result by Sharkovsky that gives a complete description of possible sets of periods for interval maps. The new ingredient is the use of Stefan sequences.

引用

页码：229 / 244

页数：16

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