Analytic invariant curves for an iterative equation related to Pielou's equation

被引：3

作者：

Zhao, Houyu ^{[1
]}

机构：

[1] Chongqing Normal Univ, Sch Math, Chongqing 401331, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2013年 / 19卷 / 07期

基金：

中国国家自然科学基金;

关键词：

difference equation; invariant curves; analytic solution; small divisor; MAP;

D O I：

10.1080/10236198.2012.714375

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of analytic invariant curves of an iterative equation g(g(x)) = g(x)f(x), which is from Pielou's equation. By reducing the equation with the Schroder transformation to an auxiliary equation, the author discusses not only that the constant alpha at resonance, i.e. at a root of the unity, but also those near resonance under the Brjuno condition.

引用

页码：1082 / 1092

页数：11

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