Type des points fixes des difféomorphismes symplectiques de 𝕋 n × ℝ n

Marie-Claude Arnaud

Mémoires de la Société Mathématique de France (1992)

  • Volume: 48, page 1-63
  • ISSN: 0249-633X

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Arnaud, Marie-Claude. "Type des points fixes des difféomorphismes symplectiques de $\mathbb {T}{}^n\times {}\mathbb {R}{}^n$." Mémoires de la Société Mathématique de France 48 (1992): 1-63. <http://eudml.org/doc/94899>.

@article{Arnaud1992,
author = {Arnaud, Marie-Claude},
journal = {Mémoires de la Société Mathématique de France},
keywords = {symplectic -diffeomorphism; completely integrable diffeomorphism; Birkhoff-Lewis theorem},
language = {fre},
pages = {1-63},
publisher = {Société mathématique de France},
title = {Type des points fixes des difféomorphismes symplectiques de $\mathbb \{T\}\{\}^n\times \{\}\mathbb \{R\}\{\}^n$},
url = {http://eudml.org/doc/94899},
volume = {48},
year = {1992},
}

TY - JOUR
AU - Arnaud, Marie-Claude
TI - Type des points fixes des difféomorphismes symplectiques de $\mathbb {T}{}^n\times {}\mathbb {R}{}^n$
JO - Mémoires de la Société Mathématique de France
PY - 1992
PB - Société mathématique de France
VL - 48
SP - 1
EP - 63
LA - fre
KW - symplectic -diffeomorphism; completely integrable diffeomorphism; Birkhoff-Lewis theorem
UR - http://eudml.org/doc/94899
ER -

References

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  1. [1] M.C. ARNAUD. — Sur les points fixes des difféomorphismes exacts symplectiques de Tn × Rn, C.R. Acad. Sci. Paris t 309 (1989), 191-194. Zbl0696.57017MR90k:58059
  2. [2] V. ARNOLD & A. AVEZ. — Problèmes ergodiques de la mécanique classique, Gauthier Villars (1967). Zbl0149.21704MR35 #334
  3. [3] J. MARTINET. — Singularities of smooth functions and maps, London Math. Soc. Series 58 (1982), Cambridge U.P. Zbl0522.58006MR83i:58018
  4. [4] J. MOSER. — Proof of a generalized form of a fixed point theorem due to G.D. Birkhoff, Lect. Notes in Math. 597 (1976), 464-494. Zbl0358.58009MR58 #13205
  5. [5] H. POINCARÉ. — Sur un théorème de géométrie, Oeuvres de Henri Poincaré, t.1, Gauthier Villars (1953), 499-538. 
  6. [6] H. POINCARÉ. — Les méthodes nouvelles de la mécanique céleste, t.1, Gauthier Villars (1893). Zbl0651.70002
  7. [7] C. ROBINSON. — Generic properties of conservative systems, Am. J. of Math. 92 (1970), 562-601. Zbl0212.56502MR42 #8517

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