Nondegenerate centers for Abel polynomial differential equations of second kind

In this paper we study the center problem for Abel polynomial differential equations of second kind. Computing the focal values and using modular arithmetics and Gröbner bases we find the center conditions for such systems for lower degrees.

Bibliographic Details
Authors: Giné, Jaume, Valls, Claudia
Format: article
Status:Versión aceptada para publicación
Publication Date:2017
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10459.1/62978
Online Access:https://doi.org/10.1016/j.cam.2017.03.009
http://hdl.handle.net/10459.1/62978
Access Level:Open access
Keyword:Abel polynomial differential systems of second kind
Center problem
Gröbner bases
Description
Summary:In this paper we study the center problem for Abel polynomial differential equations of second kind. Computing the focal values and using modular arithmetics and Gröbner bases we find the center conditions for such systems for lower degrees.