Alvarez-Ramirez M., García A., Vidarte J.
Armbruster – Guckenheimer – Kim Hamiltonian System in 1:1 Resonance
2021, Vol. 17, no. 1, pp. 59-76
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.