Geodesic
Armbruster – Guckenheimer – Kim Hamiltonian System
Russian journal of nonlinear dynamics, Tome 17 (2021) no. 1, pp. 59-76.

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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.
Keywords: galactic potential, Hamiltonian system, normalization and reduction, KAM tori, reduced space, periodic orbits. 
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M. Alvarez-Ramírez; A. García; J. Vidarte. Armbruster – Guckenheimer – Kim Hamiltonian System. Russian journal of nonlinear dynamics, Tome 17 (2021) no. 1, pp. 59-76. http://geodesic.mathdoc.fr/item/ND_2021_17_1_a5/

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