LIMIT CYCLES BIFURCATION FOR A CLASS OF DEGENERATE SINGULARITY

• 作者: Jingjing Feng Qinlong Wang Xianping He
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 极限环分支 奇异 退化 中心流形 三维系统 高阶奇点 高维系统 临界点
• 年，卷（期）: 2014,（2）
• 页码范围: 150-156
• 页数: 7页
• 分类号: O175.12

摘要

In this paper,bifurcation of limit cycles for the degenerate equilibrium to a threedimensional system is investigated.Firstly,we use formal series to calculate the focal values at the high-order critical point on center manifold.Then an example is studied,and the existence of 3 limit cycles on the center manifold is proved.In terms of highorder singularities in high-dimensional systems,our results are new.