The Center Variety of Polynomial Differential Systems
| dc.creator | Jarrah, Abdul Salam | |
| dc.creator | Laubenbacher, Reinhard | |
| dc.creator | Romanovski, Valery | |
| dc.date | 2000-09-06 | |
| dc.date | 2001-12-20 | |
| dc.date.accessioned | 2026-07-07T04:37:14Z | |
| dc.date.available | 2026-07-07T04:37:14Z | |
| dc.description | We investigate the symmetry component of the center variety of polynomial differential systems, corresponding to systems with an axis of symmetry in the real plane. We give a general algorithm to find this irreducible subvariety and compute its dimension. We show that our methods provide a simple way to compute the radical of the ideal generated by the focus quantities and, therefore, to estimate the cyclicity of a center in the case when the ideal is radical. In particular, we use our methods to get a simple proof of the famous Bautin theorem on the cyclicity of the quadratic system. | |
| dc.description | A new version, extended introduction and more references | |
| dc.identifier | https://arxiv.org/abs/math/0009061 | |
| dc.identifier | http://arxiv.org/abs/math/0009061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59877 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Rings and Algebras | |
| dc.title | The Center Variety of Polynomial Differential Systems | |
| dc.type | text |