Publication: Armbruster – Guckenheimer – Kim Hamiltonian System in 1:1 Resonance
Date
2021
Authors
Dr. Vidarte-Olivera, Jhon
Alvarez-Ramírez, Martha
García, Antonio
Journal Title
Journal ISSN
Volume Title
Publisher
Russian Journal of Nonlinear Dynamics
Abstract
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.
Description
Keywords
Galactic potential, Hamiltonian system, Normalization and reduction, Kam Tori, Reduced space, Periodic orbits