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.
The first author is partially supported by a MINECO/FEDER grant number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The second author is partially supported FCT/Portugal through the project UID/MAT/04459/2013.
Anglès
Abel polynomial differential systems of second kind; Center problem; Gröbner bases
Elsevier
info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/
Versió postprint del document publicat a https://doi.org/10.1016/j.cam.2017.03.009
Journal of Computational and Applied Mathematics, 2017, vol. 321, p. 469-477
cc-by-nc-nd (c) Elsevier, 2017
http://creativecommons.org/licenses/by-nc-nd/4.0/
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