Tracing phase portraits of planar polynomial vector fields with detailed analysis of the singularities

被引：0
|
作者：
Dumortier F. [1 ]
Herssens C. [1 ]
机构：
[1] Limburgs Universitair Centrum, Universitaire Campus
来源：
Qualitative Theory of Dynamical Systems | 1999年 / 1卷 / 1期
关键词：
blow-up; Newton-diagram; ordinary differential equation; phase portrait; singularity; vector field;
D O I：
10.1007/BF02969406
中图分类号：
学科分类号：
摘要：
The paper essentially aims at presenting a computer program drawing phase portraits of planar polynomial vector fields. It is essentially based on a detailed analysis of the singularities by means of desingularization using quasihomogeneous blow-up and the Newton diagram, and good approximation of invariant manifolds. Phase portraits can be drawn locally near a singularity or globally on a Poincaré disc or a Poincaré-Lyapunov disc, compactifying the plane. © 1999 Birkhäuser-Verlag.
引用
收藏
页码：97 / 130
页数：33
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