56 citations · 457 across the 42 of their papers we have counts for
42 papers
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…
Lifting of the Vlasov-Maxwell Bracket by Lie-transform Method
A. J. Brizard, P. J. Morrison, J. W. Burby +2
The Vlasov-Maxwell equations possess a Hamiltonian structure expressed in terms of a Hamiltonian functional and a functional bracket. In the present paper, the transformation ("lif…
Full particle orbit effects in regular and stochastic magnetic fields
Shun Ogawa, Benjamin Cambon, Xavier Leoncini +4
We present a numerical study of charged particle motion in a time-independent magnetic field in cylindrical geometry. The magnetic field model consists of an unperturbed reversed-s…
Chaotic motion of charged particles in toroidal magnetic configurations
Benjamin Cambon, Xavier Leoncini, Michel Vittot +2
We study the motion of a charged particle in a tokamak magnetic field and discuss its chaotic nature. Contrary to most of recent studies, we do not make any assumption on any const…
On an intrinsic approach of the guiding-center anholonomy and gyro-gauge-arbitrariness
Loïc De Guillebon, Michel Vittot
In guiding center theory, the standard gyro-angle coordinate is associated with gyro-gauge dependence, the global existence problem for unit vectors perpendicular to the magnetic f…
Gyro-gauge-independent formulation of the guiding-center reduction to arbitrary order in the Larmor radius
Loïc De Guillebon, Vittot Michel
The guiding-center reduction is studied using gyro-gauge-independent coordinates. The Lagrangian 1-form of charged particle dynamics is Lie transformed without introducing a gyro-g…