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    Armbruster – Guckenheimer – Kim Hamiltonian System in 1:1 Resonance
    (Russian Journal of Nonlinear Dynamics, 2021) ;
    Alvarez-RamĂ­rez, Martha
    ;
    GarcĂ­a, Antonio
    This article deals with the autonomous two-degree-of-freedom Hamiltonian system with Armbruster –Guckenheimer –Kim galactic potential in 1:1 resonance depending on two parameters. We detect periodic solutions and KAM 2-tori arising from linearly stable periodic solutions not found in earlier papers. These are established by using reduction, normalization, averaging and KAM techniques.