Gine, Jaume2022-04-082022-04-082017-03-27Giné, J. (2017). Center conditions and limit cycles for BiLiénard systems. <i>Electronic Journal of Differential Equations, 2017</i>(86), pp. 1-5.1072-6691https://hdl.handle.net/10877/15618In this article we study the center problem for polynomial BiLiénard systems of degree n. Computing the focal values and using Gröbner bases we find 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.Text5 pages1 file (.pdf)enAttribution 4.0 InternationalCenter problemAnalytic integrabilityGröbner basesPolynomial BiLiénard differential systemsDecomposition in prime idealsArticle