Armbruster – Guckenheimer – Kim Hamiltonian System in 1:1 Resonance
Received 05 July 2020
2021, Vol. 17, no. 1, pp. 59-76
Author(s): Alvarez-Ramirez M., García A., Vidarte J.
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.
Download File PDF, 433.24 Kb |
This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License