Plane polynomial vector fields with prescribed invariant curves

Authors
Walcher, S
Citation
S. Walcher, Plane polynomial vector fields with prescribed invariant curves, P RS EDIN A, 130, 2000, pp. 633-649
Citations number
18
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
130
Year of publication
2000
Part
3
Pages
633 - 649
Database
ISI
SICI code
0308-2105(2000)130:<633:PPVFWP>2.0.ZU;2-5
Abstract
The main result of this paper is the determination of all plane polynomial vector fields that admit a prescribed collection of algebraic curves as inv ariant sets. As an application, the polynomial vector fields admitting cert ain types of algebraic integrating factors are characterized.