Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire

Françoise Truc

Annales de l'I.H.P. Physique théorique (1996)

  • Volume: 64, Issue: 2, page 127-154
  • ISSN: 0246-0211

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Truc, Françoise. "Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire." Annales de l'I.H.P. Physique théorique 64.2 (1996): 127-154. <http://eudml.org/doc/76710>.

@article{Truc1996,
author = {Truc, Françoise},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Lorentz equation; magnetic field; rotational symmetry; twist theorem},
language = {fre},
number = {2},
pages = {127-154},
publisher = {Gauthier-Villars},
title = {Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire},
url = {http://eudml.org/doc/76710},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Truc, Françoise
TI - Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire
JO - Annales de l'I.H.P. Physique théorique
PY - 1996
PB - Gauthier-Villars
VL - 64
IS - 2
SP - 127
EP - 154
LA - fre
KW - Lorentz equation; magnetic field; rotational symmetry; twist theorem
UR - http://eudml.org/doc/76710
ER -

References

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  2. [2] V.I. Arnold, Small denominators and problems of stability of motion in classical and celestial mechanics, Russ Math. Survey, Vol. 18, 6, 1963, p. 85-190. Zbl0135.42701MR170705
  3. [3] M. Braun, Particle motions in a magnetic Field, Journal of Diff. Equ., Vol. 8, 1970, p. 294-332. MR264906
  4. [4] M. Gardner, The adiabatic invariant of periodic classical systems, Phys. Rev., Vol. 115, 1959, p. 791-794. MR109003
  5. [5] M.R. Herman, Sur les courbes invariantes par les difféomorphismes de l'anneau, Astérisque, Paris, Vol. 1, 1983, p. 103-104. Zbl0532.58011MR499079
  6. [6] M. Kruskal, Asymptotic theory of Hamiltonian and other systems with all solutions nearly periodic, Journal of Mathematical Physics, Vol. 3, 1962, p. 806-829. Zbl0113.21201MR151001
  7. [7] P. Lochak and C. Meunier, Multiphase averaging for classical systems with applications to Adiabatic theorems, Applied Math. Sciences, Springer Verlag, Vol. 72, 1988. Zbl0668.34044MR959890
  8. [8] J. Moser, On invariant curbes of area preserving mappings of an annulus, Nachr Acad. Wiss. II Göttingen, Math. Phys. Klasse, 1962, p. 1-20. Zbl0107.29301MR147741
  9. [9] J. Moser, Stable and random motions in dynamical systems, Annals of Math studies, Princeton University Press, 1973. Zbl0271.70009MR442980
  10. [10] A.I. Neistadt, The separation of motions in systems with rapidly rotating phase, J. Appl. Math. Mech., Vol. 48, 2, 1984, p. 133-139. Zbl0571.70022MR802878
  11. [11] T.G. Northrop, The adiabatic motion of charged particles, WileyInterscience PublishersNew York, 1963. Zbl0119.43703MR172659
  12. [12] H. Weitzner, Motions of a charged particle in slowly varying electromagnetic Field, Comm. in pure and applied Math., Vol. 36, 1983, p. 695-704. Zbl0505.76128MR716203

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