PSEUDO-ABELIAN INTEGRALS ON SLOW-FAST DARBOUX SYSTEMS

被引：7

作者：

Bobienski, Marcin ^{[1
]}

Mardesic, Pavao ^{[2
]}

Novikov, Dmitry ^{[3
]}

机构：

[1] Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland

[2] Univ Bourgogne, Inst Math Bourgogne, CNRS, UMR 5584, F-21078 Dijon, France

[3] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

来源：

ANNALES DE L INSTITUT FOURIER | 2013年 / 63卷 / 02期

基金：

以色列科学基金会;

关键词：

pseudo-abelian integrals; abelian integrals; slow-fast systems; Darboux integrability; bifurcations; limit cycles;

D O I：

10.5802/aif.2765

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.

引用

页码：417 / 430

页数：14

共 7 条

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Bobienski, Marcin
Mardesic, Pavao
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Roussarie, Robert
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[7] On Limit Cycles Appearing by Polynomial Perturbation of Darbouxian Integrable Systems
Novikov, Dmitry
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2009, 18 (05) : 1750 - 1773

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