The Number of Limit Cycles of a Polynomial System on the Plane

被引：2

作者：

Liu, Chao ^{[1
]}

Han, Maoan ^{[1
]}

机构：

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

中国国家自然科学基金;

关键词：

GLOBAL BIFURCATION; FAMILY;

D O I：

10.1155/2013/482850

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We perturb the vector field (x) over dot = -yC(x, y), (y) over dot = -xC(x, y) with a polynomial perturbation of degree n, where C(x, y) = (1 - y(2))(m), and study the number of limit cycles bifurcating from the period annulus surrounding the origin.

引用

页数：7

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