The same distribution of limit cycles in five perturbed cubic Hamiltonian systems

被引：22

作者：

Liu, ZR ^{[1
]}

Yang, ZY ^{[1
]}

Jiang, T ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Inst Appl Math, Kunming 650091, Yunnan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 01期

关键词：

limit cycles; bifurcation; cubic Hamiltonian system;

D O I：

10.1142/S0218127403006522

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the method of qualitative analysis we show that five perturbed cubic Hamiltonian systems have the same distribution of limit cycles and have 11 limit cycles for some parameters. The accurate location of each limit cycle is given by numerical exploration. In other words, we demonstrate the existence of 11 limit cycles and their distribution in five perturbed systems in two ways, the results obtained from both ways are the same.

引用

页码：243 / 249

页数：7

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