THE POINCARE BIFURCATION OF QUADRATIC SYSTEMS HAVING A REGION CONSISTING OF PERIODIC CYCLES BOUNDED BY A HYPERBOLA AND AN ARC OF EQUATOR

• 作者: SongYan
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 周期区间 POINCARÉ分支 有限循环 二次多项式 阿贝尔积分
• 年，卷（期）: 2005,（1）
• 页码范围: 33-38
• 页数: 6页
• 分类号: O175.5

摘要

In this paper, we discuss the Poincaré bifurcation for a class of quadratic systems having a region consisting of periodic cycles bounded by a hyperbola and an arc of equator. We prove that the system can at most generate two limit cycles after a small perturbation.