Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Vittot, Michel"'
Autor:
Valvo, Lorenzo, Vittot, Michel
We propose a perturbation algorithm for Hamiltonian systems on a Lie algebra $\mathbb{V}$, so that it can be applied to non-canonical Hamiltonian systems. Given a Hamiltonian system that preserves a subalgebra $\mathbb{B}$ of $\mathbb{V}$, when we ad
Externí odkaz:
http://arxiv.org/abs/2101.01432
Autor:
Ogawa, Shun, Cambon, Benjamin, Leoncini, Xavier, Vittot, Michel, del Castillo-Negrete, Diego, Dif-Pradalier, Guilhem, Garbet, Xavier
Publikováno v:
Phys. Plasmas 23, 072506 (2016)
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-shear helical part and a perturbation consisting of a superposition of
Externí odkaz:
http://arxiv.org/abs/1604.05112
Publikováno v:
Chaos, American Institute of Physics (AIP), 2014, 24 (3), pp.033101
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 constant of the motion and solve numerically the cyclotron gyration using H
Externí odkaz:
http://arxiv.org/abs/1402.2625
Autor:
De Guillebon, Loïc, Vittot, Michel
Publikováno v:
Physics of Plasmas 20, 11 (2013) 112509
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 field, and the notion of anholonomy, which is the failure of the gyro-a
Externí odkaz:
http://arxiv.org/abs/1304.4563
Recently, the Hamiltonian Control Theory was used in [Boreux et al.] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this letter, these results are extended by proving that a simplified ver
Externí odkaz:
http://arxiv.org/abs/1103.5631
Autor:
Izacard, Olivier, Tronko, Natalia, Chandre, Cristel, Ciraolo, Guido, Vittot, Michel, Ghendrih, Philippe
Publikováno v:
Plasma Physics and Controlled Fusion 53 12 (2011) 125008
We consider the radial transport of test particles due to the ExB drift motion in the guiding center approximation. Using an explicit expression to modify the electrostatic potential, we show that it is possible to construct a transport barrier which
Externí odkaz:
http://arxiv.org/abs/1012.1200
The chaotic transport of charged particles in a turbulent electrostatic potential sets the conditions of a severe limitation to the plasma confinement in devices such as tokamaks. In this chapter, we consider the motion of impurities driven by the Ex
Externí odkaz:
http://arxiv.org/abs/0910.2633
Publikováno v:
Journal of Physics A Mathematical and Theoretical 42, 42(2009) (2009) 085501
We consider a 1 1/2degrees of freedom Hamiltonian dynamical system, which models the chaotic dynamics of charged test-particles in a turbulent electric field, across the confining magnetic field in controlled thermonuclear fusion devices. The externa
Externí odkaz:
http://arxiv.org/abs/0901.2848
We present a method of control of chaos in area-preserving maps. This method gives an explicit expression of a control term which is added to a given area-preserving map. The resulting controlled map which is a small and suitable modification of the
Externí odkaz:
http://arxiv.org/abs/0809.0239
The Hamiltonian description of the self-consistent interaction between an electromagnetic plane-wave and a co-propagating beam of charged particles is considered. We show how the motion can be reduced to a one-dimensional Hamiltonian model (in a cano
Externí odkaz:
http://arxiv.org/abs/0802.2602