Centers of reversible cubic perturbations of the symmetric 8-loop Hamiltonian
Abstract
We show that the center set of reversible cubic systems, close to the symmetric Hamiltonian system x'=y, y'= x-x3 has two irreducible components of co-dimension two in the parameter space. One of them corresponds to the Hamiltonian stratum, the other to systems which are polynomial pull back of an appropriate linear system
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