Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas

Journal of Physics A: Mathematical and General

Volumn 37, Issue 11, 2004, Pages 3589-3597

  Ciraolo, G ^a,b   Chandre, C ^c   Lima, R ^c   Vittot, M ^c   Pettini, M ^b,d,e   Figarella, C ^f   Ghendrih, P ^f  

^a UNIVERSITY OF FLORENCE   (Italy)

^b INFM   (Italy)

^c CENTRE DE PHYSIQUE THÉORIQUE   (France)

^d INAF OSSERVATORIO ASTROFISICO DI TORINO   (Italy)

^e INFN SEZIONE DI FIRENZE   (Italy)

^f IRFM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842478910     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/11/004     Document Type: Article

References (9)

1. Ciraolo G, Chandre C, Lima R, Vittot M, Pettini M, Figarella C and Ghendrih Ph 2003 Control of chaotic transport in Hamiltonian systems Preprint arXiv.org/nlin.CD/0304040
2. Ciraolo G, Briolle F, Chandre C, Floriani E, Lima R, Vittot M, Pettini M, Figarella C and Ghendrih Ph 2003 Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas Phys. Rev. E to appear (Preprint arXiv.org/nlin.CD/0312037)
3. Gallavotti G 1982 A criterion of integrability for perturbed nonresonant harmonic oscillators. 'Wick ordering' of the perturbations in classical mechanics and invariance of the frequency spectrum Commun. Math. Phys. 87 365
4. Gallavotti G 1985 Classical mechanics and renormalization-group Regular and Chaotic Motions in Dynamical Systems ed G Velo and A S Wightman (New York: Plenum)
5. Gentile G and Mastropietro V 1996 Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics Rev. Math. Phys. 8 393
6. Northrop T P 1961 The guiding centre approximation to charged particle motion Ann. Phys., NY 15 79
7. Pettini M, Vulpiani A, Misguich J H, De Leener M, Orban J and Balescu R 1988 Chaotic diffusion across a magnetic field in a model of electrostatic turbulent plasma Phys. Rev. A 38 344
8. Vittot M 2003 Perturbation theory and control in classical or quantum mechanics by an inversion formula Preprint arXiv.org/math-ph/0303051 submitted
9. Wootton A J, Carreras B A, Matsumoto H, McGuire K, Peebles W A, Ritz C P, Terry P W and Zweben S J 1990 Fluctuations and anomalous transport in tokamaks Phys. Fluids B 2 2879