Chapitre VII Systèmes hamiltoniens complètement intégrables non commutatifs Étude locale

M. Boucetta

Publications du Département de mathématiques (Lyon) (1988)

  • Issue: 1B, page 185-195
  • ISSN: 0076-1656

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Boucetta, M.. "Chapitre VII Systèmes hamiltoniens complètement intégrables non commutatifs Étude locale." Publications du Département de mathématiques (Lyon) (1988): 185-195. <http://eudml.org/doc/273516>.

@article{Boucetta1988,
author = {Boucetta, M.},
journal = {Publications du Département de mathématiques (Lyon)},
language = {fre},
number = {1B},
pages = {185-195},
publisher = {Université Claude Bernard - Lyon 1},
title = {Chapitre VII Systèmes hamiltoniens complètement intégrables non commutatifs Étude locale},
url = {http://eudml.org/doc/273516},
year = {1988},
}

TY - JOUR
AU - Boucetta, M.
TI - Chapitre VII Systèmes hamiltoniens complètement intégrables non commutatifs Étude locale
JO - Publications du Département de mathématiques (Lyon)
PY - 1988
PB - Université Claude Bernard - Lyon 1
IS - 1B
SP - 185
EP - 195
LA - fre
UR - http://eudml.org/doc/273516
ER -

References

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  1. [A-M] R. Abraham - J.E. Marsden : Foundations of Mechanics, (2nd edition). Benjamin-Cummings, Reading1978. Zbl0393.70001MR515141
  2. [D-V] M. Duflo - M. Vergne : Une propriété de la représentation co-adjointe d'une algèbre de Lie, C.R. Acad. Sci.Paris, série A, 268, 1969, 583-585. Zbl0192.37402MR245629
  3. [E] H. Eliasson : Hamiltonian system with Poisson commuting integrals, Thèse, Stockholm (1984). 
  4. [G-P] V. Guillemin - A. Pollack : Differential topology, Prentice-Hall, New Jersey, 1974. Zbl0361.57001MR348781
  5. [G-S] V. Guillemin - S. Sternberg : Convexity Proprieties of the Moment Mapping, Invent. Math.67 (1982), 491-513. Zbl0503.58017MR664117
  6. [M] C.M. Marle : Normal Forms generalizing action-angle coordinates for Hamiltonian action of Lie group, Letters in Math. Phys.7 (1983), p. 55-62. Zbl0517.58011MR691974
  7. [M-F] Mischenko - Fomenko : Generalized Liouville method of integration of hamiltonian systems, Funct. Anal. and Appl.12 (1978), p. 113-121. Zbl0405.58028
  8. [Mo] P. Molino : Structure transverse aux orbites de la représentation co-adjointe : Le cas des orbites réductives. Sém. Géom. Diff. (1983-1984), Montpellier. Zbl0598.58023
  9. [N] Nehorsev : Action-angle variable and their generalizations, Trans. Moscow, Math. Soc.26 (1972), p. 180-198. Zbl0284.58009MR365629
  10. [S] J.M. Souriau : Structure des systèmes dynamiques, Paris, Dunod, 1970. Zbl0186.58001MR260238
  11. [W] A. Weinstein : The local structure of Poisson manifolds, J. of Diff. Geom. (1984). Zbl0524.58011MR723816

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