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

页码：1274 / 1278

页数：5

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