Poincare Bifurcation of Limit Cycles from a Lienard System with a Homoclinic Loop Passing through a Nilpotent Saddle

被引：0

作者：

Wei, Minzhi ^{[1
]}

Cai, Junning ^{[1
]}

Zhu, Hongying ^{[1
]}

机构：

[1] Guangxi Univ Finance & Econ, Dept Appl Math, Nanning 530003, Guangxi, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2019年 / 2019卷

关键词：

QUINTIC HAMILTONIAN SYSTEM; PLANAR VECTOR FIELD; NUMBER; PERTURBATIONS; EXISTENCE; DEGREE-4;

D O I：

10.1155/2019/6943563

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In present paper, the number of zeros of the Abelian integral is studied, which is for some perturbed Hamiltonian system of degree 6. We prove the generating elements of the Abelian integral from a Chebyshev system of accuracy of 3; therefore there are at most 6 zeros of the Abelian integral.

引用

页数：12

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