A hybrid symbolic-numerical approach to the center-focus problem

Mahdi, AdamPessoa, Claudio [UNESP]Hauenstein, Jonathan D.2018-12-112018-12-112017-09-01Journal of Symbolic Computation, v. 82, p. 57-73.0747-7171http://hdl.handle.net/11449/174247We propose a new hybrid symbolic-numerical approach to the center-focus problem. The method allowed us to obtain center conditions for a three-dimensional system of differential equations, which was previously not possible using traditional, purely symbolic computational techniques.57-73engCenter manifoldCenter-focus problemFirst integralNumerical algebraic geometryA hybrid symbolic-numerical approach to the center-focus problemArtigo10.1016/j.jsc.2016.11.019Acesso aberto2-s2.0-850132248942-s2.0-85013224894.pdf37249378865574240000-0001-6790-1055