On the number and distribution of limit cycles in a cubic system

被引：16

作者：

Maoan, H

Zhang, TH ^{[1
]}

Hong, Z

机构：

[1] Shandong Univ Sci & Technol, Dept Appl Math, Shandong 271019, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 12期

基金：

中国国家自然科学基金;

关键词：

limit cycle; homoclinic bifurcation; heteroclinic bifurcation; Hamiltonian system;

D O I：

10.1142/S0218127404011934

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the number of limit cycles in a cubic system. Eleven limit cycles are found and two different distributions are given by using the methods of bifurcation theory and qualitative analysis.

引用

页码：4285 / 4292

页数：8

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