3 papers
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…
physics.plasm-ph2016
Numerical study of the Transverse Diffusion coefficient for a one component model of a plasma
Lorenzo Valvo, Andrea Carati
We report the results of MD numerical simulations for a one component model of a plasma in the weakly coupled regime, at different values of temperature and applied magnetic fi…