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.
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页数：7
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