scholarly journals Motions of a two-degree-of-freedom Hamiltonian system in the presence of multiple third-order resonances

2012 ◽  
pp. 267-288 ◽  
Author(s):  
O. V. Kholostova ◽  
Keyword(s):  
Hamiltonian System ◽  
Degree Of Freedom ◽  
Third Order ◽  
Two Degree Of Freedom

scholarly journals Armbruster – Guckenheimer – Kim Hamiltonian System in $\bs 1$:$\bs 1$ Resonance

2021 ◽  
Vol 17 (1) ◽  
pp. 59-76
Author(s):  
M. Alvarez-Ramírez ◽  
◽  
A. García ◽  
J. Vidarte ◽  
◽  
...  
Keyword(s):  
Hamiltonian System ◽  
Periodic Solutions ◽  
Degree Of Freedom ◽  
Galactic Potential ◽  
Stable Periodic ◽  
Two Parameters ◽  
Two Degree Of Freedom

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.

Sign in / Sign up

Export Citation Format

Share Document