Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps

被引：25

作者：

Dannan, FM ^{[1
]}

Elaydi, SN

Ponomarenko, V

机构：

[1] Qatar Univ, Fac Sci, Dept Math, Doha, Qatar

[2] Trinity Univ, Dept Math, San Antonio, TX 78212 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2003年 / 9卷 / 05期

关键词：

fixed point; global stability; asymptotic stability; non-hyperbolic; Schwarzian;

D O I：

10.1080/1023619031000078315

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a complete theory for the stability of non-hyperbolic fixed points of one-dimensional continuous maps. As well as we give simple criteria for the global stability of general maps without using derivatives.

引用

页码：449 / 457

页数：9