BIFURCATIONS OF LIMIT CYCLES FOR A PERTURBED CUBIC SYSTEM WITH DOUBLE FIGURE EIGHT LOOP

被引：3

作者：

Zhang, Tonghua ^{[1
]}

Zang, Hong ^{[2
]}

Tade, Mose O. ^{[3
]}

机构：

[1] Swinburne Univ Technol, Fac Engn & Ind Sci, Hawthorn, Vic 3122, Australia

[2] Wuhan Inst Technol, Hubei Key Lab Intelligent Robot, Wuhan, Peoples R China

[3] Curtin Univ Technol, Dept Chem Engn, Perth, WA 6845, Australia

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2013年 / 23卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Homoclinic bifurcation; heteroclinic bifurcation; stability; limit cycles; perturbation; Hamiltonian system; HAMILTONIAN-SYSTEMS; HOPF-BIFURCATION;

D O I：

10.1142/S0218127413500673

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the distribution and number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist seven limit cycles is proved. The different distributions of limit cycles are given by using the methods of bifurcation theory and qualitative analysis, and the distributions of seven limit cycles are newly established.

引用

页数：12

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