摘要
本文讨论了平面解析自治系统的奇点之分类和稳定性．方法不依赖于线性化系数矩阵的特征值，而采用数学分析、平面微分几何和动力系统几何方法的综合分析，对孤立奇点给出了实用的判定方法．
おhe classification and stability of equilibria for analytic autonomous systems in R2 is discussed. A general classification not depending on the eigenvalue of the coefficient matrix of the linearization is provided. Applicable methods to specifically classify all isolated equilibria are introduced via basic analysis, elementary differential geometry and geometric methods of dynamical systems.
出处
《上海大学学报（自然科学版）》
CAS
CSCD
1997年第5期570-575,共6页
Journal of Shanghai University:Natural Science Edition
基金
国家教委科研资助
关键词
自治系统
奇点
分类
稳定性
常微分方程
autonomous systems, classification of equilibria, stability, curvature
