Showing math.DSShow all
2 papers · 1 filter
math.DS2021
Hamiltonian Perturbation Theory on a Lie Algebra. Application to a non-autonomous Symmetric Top
Lorenzo Valvo, Michel Vittot
We propose a perturbation algorithm for Hamiltonian systems on a Lie algebra , so that it can be applied to non-canonical Hamiltonian systems. Given a Hamiltonian syste…
math.DS2021
Hamiltonian Control of Magnetic Field Lines: Computer Assisted Results Proving the Existence of KAM Barriers
Lorenzo Valvo, Ugo Locatelli
We reconsider a control theory for Hamiltonian systems, that was introduced on the basis of KAM theory and applied to a model of magnetic field in previous articles. By a combinati…