The Existence of Analytic Invariant Curves for a Planar Map

被引：0
|
作者：
Liu, Lingxia [1 ]
机构：
[1] Weifang Univ, Dept Math, Weifang 261061, Shandong, Peoples R China
来源：
ADVANCED RESEARCH ON AUTOMATION, COMMUNICATION, ARCHITECTONICS AND MATERIALS, PTS 1 AND 2 | 2011年 / 225-226卷 / 1-2期
关键词：
invariant curves; planar map; resonance; Brjuno condition; DIFFEOMORPHISMS;
D O I：
10.4028/www.scientific.net/AMR.225-226.1274
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 study the existence of analytic invariant curves for two-dimensional maps in the complex field C. Employing the method of majorant series, we discuss the eigenvalue alpha of the mapping at a fixed point. We discuss not only those a alpha at resonance, i.e., at a root of the unity but also those alpha near resonance under Brjuno condition.
引用
收藏
页码：1274 / 1278
页数：5
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