Parametric Centers for Trigonometric Abel Equations

被引：3
|
作者：
Francoise, Jean-Pierre [1 ]
机构：
[1] Univ Paris 06, CNRS, Lab JL Lions, UMR 7598, Paris, France
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2008年 / 20卷 / 04期
关键词：
Center; Perturbation theory; Abel equations;
D O I：
10.1007/s10884-008-9107-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is devoted to one-dimensional perturbative theory on R x S-1. There is a recursive formula for the successive obstructions to parametric center at any order of the perturbation parameter. The first obstruction is studied by means of complex analysis techniques. This extends to the trigonometric case what was done previously for the polynomial case (Israel J. Math. 142, 273-283, 2004).
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页码：777 / 786
页数：10
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