HOMOCLINIC CYCLES OF A QUADRATIC SYSTEM DESCRIBED BY QUARTIC CURVES

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2009,（4）
• 页数: 1页
• 分类号: O189.2

摘要

This paper is devoted to discussing the topological classification of the quartic invariant algebraic curves for a quadratic system. We obtain sufficient and necessary conditions which ensure that the homoclinic cycle of the system is defined by the quartic invariant algebraic curve. Finally, the corresponding global phase diagrams are drawn.