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Armbruster – Guckenheimer – Kim Hamiltonian System in 1:1 Resonance
Dr. Vidarte-Olivera, Jhon 
Facultad de Ingeniería 
Alvarez-Ramírez, Martha
García, Antonio
10.20537/ND210106
Russian Journal of Nonlinear Dynamics
2021
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.
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Galactic potential
Hamiltonian system
Normalization and reduction
Kam Tori
Reduced space
Periodic orbits
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