Centers of reversible cubic perturbations of the symmetric 8-loop Hamiltonian

Fatma Sassi, Ameni Gargouri, Lubomir Gavrilov +1

We show that the center set of reversible cubic systems, close to the symmetric Hamiltonian system $x^{\prime }=y,y^{\prime }=x-x^3$ has two irreducible components of co-dimension two in the param…