Parametric Centers for Trigonometric Abel Equations

被引：0
|
作者：
Jean-Pierre Françoise
机构：
[1] CNRS,Laboratoire J.
[2] Université P.-M. Curie,L. Lions, UMR 7598
[3] Paris6,undefined
来源：
Journal of Dynamics and Differential Equations | 2008年 / 20卷
关键词：
Center; Perturbation theory; Abel equations; Primary 34C29; 34C25; 58F22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article is devoted to one-dimensional perturbative theory on R × S1. 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：9
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