Cyclicity of planar homoclinic loops and quadratic integrable systems

被引：0
作者：
Maoan Han
机构：
[1] Shanghai Jiaotong University,Department of Mathematics
来源：
Science in China Series A: Mathematics | 1997年 / 40卷
关键词：
homoclinic loop; bifurcation; limit cycle; cyclicity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A general method for a homoclinic loop of planar Hamiltonian systems to bifurcate two or three limit cycles under perturbations is established. Certain conditions are given under which the cyclicity of a homoclinic loop equals 1 or 2. As an application to quadratic systems, it is proved that the cyclicity of homoclinic loops of quadratic integrable and non-Hamiltonian systems equals 2 except for one case.
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页码：1247 / 1258
页数：11
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