Chapitre VI Compactification d’actions de ℝ n et variables action-angle avec singularités

J. P. Dufour; P. Molino

Publications du Département de mathématiques (Lyon) (1988)

  • Issue: 1B, page 161-183
  • ISSN: 0076-1656

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Dufour, J. P., and Molino, P.. "Chapitre VI Compactification d’actions de $\mathbb {R}^n$ et variables action-angle avec singularités." Publications du Département de mathématiques (Lyon) (1988): 161-183. <http://eudml.org/doc/274228>.

@article{Dufour1988,
author = {Dufour, J. P., Molino, P.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {Hamiltonian action; action-angle variables},
language = {fre},
number = {1B},
pages = {161-183},
publisher = {Université Claude Bernard - Lyon 1},
title = {Chapitre VI Compactification d’actions de $\mathbb \{R\}^n$ et variables action-angle avec singularités},
url = {http://eudml.org/doc/274228},
year = {1988},
}

TY - JOUR
AU - Dufour, J. P.
AU - Molino, P.
TI - Chapitre VI Compactification d’actions de $\mathbb {R}^n$ et variables action-angle avec singularités
JO - Publications du Département de mathématiques (Lyon)
PY - 1988
PB - Université Claude Bernard - Lyon 1
IS - 1B
SP - 161
EP - 183
LA - fre
KW - Hamiltonian action; action-angle variables
UR - http://eudml.org/doc/274228
ER -

References

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  1. [A-M] R. Abraham - J.E. Marsden, Fundations of mechanics (2nd édition), Benjamin-Cummings, Reading, (1978) Zbl0393.70001
  2. [A-M-M] J. Arms - J.E. Marsden - V. Moncrief, Symetry and bifurcations of momentum mapping. Commun. Math. Phys., 78, (1981), 455-478. Zbl0486.58008MR606458
  3. [D-D] P. Dazord - T. Delzant, Le problème général des variables action-angles. Jour. of Diff. Geometry, 26 (2), (1987), 223-252. Zbl0634.58003MR906389
  4. [D] H. Duistermaat, On global action-angle coordinates. Commun on pure and appl. Math., 32, (1980), 687-706. Zbl0439.58014MR596430
  5. [E] H. Eliasson, Hamiltonian systems with Poisson commmuting integrals. Thèse, Stokholm, (11984). 
  6. [F.M] H. Fomenko - A. Mischenko, Generalized Liouville method of integration of hamiltonian systems. Functional Anal-Appl., 12, (1978), 113-121. Zbl0405.58028
  7. [F] J.P. Françoise, Calculs explicites d'action-angles, Seminaire de Mathématiques Supérieures, Montreal, (1985). Zbl0642.58027
  8. [R] Rüssmann, Uber das Verhalten analytischer Hamiltonscher Differential gleichungen in der Nähe einer Gleichgewichtslösung, Math. Ann., 154, (1964), 285-300. Zbl0124.04701MR179409
  9. [V] J. Vey, Sur certains systèmes dynamiques séparables. Am. J. Math., 100, (1978), 591-614. Zbl0384.58012MR501141
  10. [W] G. Wassermann, Stability of unfoldings. Lecture Notes Math., 393, (1974), Springer-Verlag. Zbl0288.57017MR410789

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