Création de points périodiques de tous types au voisinage des tores K.A.M.

Marie-Claude Arnaud

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 4, page 591-603
  • ISSN: 0037-9484

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Arnaud, Marie-Claude. "Création de points périodiques de tous types au voisinage des tores K.A.M.." Bulletin de la Société Mathématique de France 123.4 (1995): 591-603. <http://eudml.org/doc/87730>.

@article{Arnaud1995,
author = {Arnaud, Marie-Claude},
journal = {Bulletin de la Société Mathématique de France},
keywords = {KAM tori; periodic points; symplectic diffeomorphisms},
language = {fre},
number = {4},
pages = {591-603},
publisher = {Société mathématique de France},
title = {Création de points périodiques de tous types au voisinage des tores K.A.M.},
url = {http://eudml.org/doc/87730},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Arnaud, Marie-Claude
TI - Création de points périodiques de tous types au voisinage des tores K.A.M.
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 4
SP - 591
EP - 603
LA - fre
KW - KAM tori; periodic points; symplectic diffeomorphisms
UR - http://eudml.org/doc/87730
ER -

References

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  1. [1] ARNAUD (M.-C.). — Points périodiques et tores invariants de difféomorphismes symplectiques, thèse de doctorat, Univ. Paris 7, 1990. 
  2. [2] ARNAUD (M.-C.). — Type des points fixes des difféomorphismes symplectiques de Tn x ℝn, Supplément au Bull. Soc. Math. France, t. 48, 1992. Zbl0758.58009MR93c:58065
  3. [3] ARNAUD (M.-C.). — Type of critical points of Hamiltonian functions and of fixed points of symplectic diffeomorphisms, à paraître dans Nonlinearity. Zbl0811.58022
  4. [4] BOST (J.). — Tores invariants des systèmes dynamiques hamiltoniens, Astérisque, t. 133-134, 1986, p. 113-157. Zbl0602.58021
  5. [5] DOUADY (R.). — Applications du théorème des tores invariants, thèse, Univ. Paris 7, 1982. 
  6. [6] HERMAN (M.R.). — On the dynamic on Lagrangian tori invariant by symplectic diffeomorphisms, preprint, 1990. 
  7. [7] MOSER (J.). — Proof of a generalized form of a fixed point theorem due to G.D. Birkhoff, Lecture Notes in Math., t. 597, 1977, p. 464-494. Zbl0358.58009MR58 #13205
  8. [8] NEWHOUSE (S.). — Quasi-elliptic periodic points in conservative dynamical systems, Amer. J. Math., t. 99 (5), 1977, p. 1061-1087. Zbl0379.58011MR56 #13290
  9. [9] PUGH (C.) and ROBINSON (C.). — The C1 Closing Lemma, including Hamiltonians, Ergodic Theory Dynamical Systems, t. 3, 1983, p. 261-314. Zbl0548.58012MR85m:58106
  10. [10] ROBINSON (C.). — Generic properties of conservative systems, Amer. J. Math., t. 92, 1970, p. 562-601. Zbl0212.56502MR42 #8517
  11. [11] WEINSTEIN (A.). — The invariance of Poincaré's generating function for canonical transformation, Invent. Math., t. 16, 1972, p. 202-213. Zbl0235.70008MR45 #9358
  12. [12] WEINSTEIN (A.). — Lectures on symplectic manifolds, CBMS Regional Conf. Ser. in Math., t. 29, 1977. Zbl0406.53031MR57 #4244

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