Perturbations of quadratic Hamiltonian two-saddle cycles

被引：11
|
作者：
Gavrilov, Lubomir [1 ]
They, Iliya D. [2 ]
机构：
[1] Univ Toulouse, CNRS, UPS IMT, UMR 5219, F-31062 Toulouse 9, France
[2] Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2015年 / 32卷 / 02期
关键词：
ALIEN LIMIT-CYCLES; HILBERTS 16TH PROBLEM; ELLIPTIC SEGMENT LOOPS; PLANAR VECTOR-FIELDS; PERIOD ANNULI; SYSTEMS; CYCLICITY; NUMBER; UNFOLDINGS; APPEAR;
D O I：
10.1016/j.anihpc.2013.12.001
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 a planar quadratic Hamiltonian system, under an arbitrary quadratic deformation, is less than or equal to three. (C) 2013 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：307 / 324
页数：18
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