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

页码：307 / 324

页数：18

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