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

Françoise Truc

Séminaire de théorie spectrale et géométrie (1991-1992)

  • Volume: 10, page 65-84
  • ISSN: 1624-5458

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Truc, Françoise. "Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire." Séminaire de théorie spectrale et géométrie 10 (1991-1992): 65-84. <http://eudml.org/doc/114327>.

@article{Truc1991-1992,
author = {Truc, Françoise},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {curvilinear coordinates; adiabatic invariant; initial conditions; Hamiltonian; Moser's theorem; geometrical interpretation},
language = {fre},
pages = {65-84},
publisher = {Institut Fourier},
title = {Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire},
url = {http://eudml.org/doc/114327},
volume = {10},
year = {1991-1992},
}

TY - JOUR
AU - Truc, Françoise
TI - Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire
JO - Séminaire de théorie spectrale et géométrie
PY - 1991-1992
PB - Institut Fourier
VL - 10
SP - 65
EP - 84
LA - fre
KW - curvilinear coordinates; adiabatic invariant; initial conditions; Hamiltonian; Moser's theorem; geometrical interpretation
UR - http://eudml.org/doc/114327
ER -

References

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

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