On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields

被引：6

作者：

Gavrilov, Lubomir ^{[1
]}

机构：

[1] Inst Math Toulouse, Toulouse, France

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2013年 / 47卷 / 03期

关键词：

limit cycles; finite cyclicity; heteroclinic loop; two-saddle loop; ABELIAN-INTEGRALS; CYCLICITY; LOOPS; ZEROS;

D O I：

10.1007/s10688-013-0024-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the number of limit cycles which bifurcate from a two-saddle loop of an analytic planar vector field X (0) under an arbitrary finite-parameter analytic deformation X (lambda) , lambda a (a"e (N) , 0), is uniformly bounded with respect to lambda.

引用

页码：174 / 186

页数：13

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