Continued g-Fractions and Geometry of Bounded Analytic Maps

被引：0

作者：

Tsygvintsev, Alexei ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, UMPA, F-69364 Lyon 07, France

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2014年 / 20卷 / 02期

关键词：

Continued fractions; Real analytic functions; Dynamical systems;

D O I：

10.1007/s10883-013-9200-9

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 work, we study qualitative properties of real analytic bounded maps. The main tool is approximation of real-valued functions analytic in rectangular domains of the complex plane by continued g-fractions of Wall (1948). As an application, the Sundman-Poincar method in the Newtonian three-body problem is revisited and applications to collision detection problem are considered.

引用

页码：181 / 196

页数：16

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