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Centers of reversible cubic perturbations of the symmetric 8-loop Hamiltonian
Journal article   Peer reviewed

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

Fatma Sassi, Ameni Gargouri, Lubomir Gavrilov and Bassem Ben Hamed
Archiv der Mathematik, Vol.115(5), pp.567-574
01/11/2020
DOI: https://doi.org/10.1007/s00013-020-01495-8

Abstract

Mathematics Physical Sciences Science & Technology
We show that the center set of reversible cubic systems, close to the symmetric Hamiltonian system x' = y, y' = x-x(3), 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 a polynomial pull back of an appropriate linear system.

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