✦ LIBER ✦
Invariant Algebraic Curves and Rational First Integrals for Planar Polynomial Vector Fields
✍ Scribed by Javier Chavarriga; Jaume Llibre
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 131 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
✦ Synopsis
dedicated to professor jack k. hale on the occasion of his 70th birthday
We present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C 2 has a rational first integral, and the third one studies the number of multiple points that an invariant algebraic curve of degree n of a planar polynomial vector field of degree m can have in function of m and n.