Analytic Invariant Curves in a Two Dimensional Complex Discrete Dynamical System

被引：0

作者：

Liu, Lingxia ^{[1
]}

机构：

[1] Weifang Univ, Dept Math, Weifang 261061, Shandong, Peoples R China

来源：

APPLIED INFORMATICS AND COMMUNICATION, PT I | 2011年 / 224卷

关键词：

Invariant curves; iterative equation; majorant series; Diophantine condition; Brjuno condition; EQUATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we are concerned with the existence of analytic invariant curves of a 2-D mapping in the complex field C. Employing the method of majorant series, we need to discuss the eigenvalue alpha of the mapping at a fixed point. We discuss not only these alpha at the hyperbolic case 0<vertical bar alpha vertical bar<1 and resonance, i.e., at a root of the unity, but also those alpha near resonance (i.e., near a root of the unity) under Brjuno condition.

引用

页码：190 / 201

页数：12

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