Universitat de Lleida
In this article we study the center problem for polynomial BiLiénard systems of degree n. Computing the focal values and using Gröbner bases we end the center conditions for such systems for n = 6. We also establish a conjecture about the center conditions for polynomial BiLiénard systems of arbitrary degree.
The author is partially supported by a MINECO/FEDER grant number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204.
English
Center problem; Analytic integrability; Gröbner bases; Polynomial BiLiénard diferential systems; Decomposition in prime ideals
Texas State University
info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/
Reproducció del document publicat a https://ejde.math.txstate.edu/Volumes/2017/86/gine.pdf
Electronic Journal of Differential Equations, 2017, vol. 2017, núm. 86, p. 1-5
(c) Texas State University, 2017
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