Propriétés générales des applications déviant la verticale

Patrice Le Calvez

Bulletin de la Société Mathématique de France (1989)

  • Volume: 117, Issue: 1, page 69-102
  • ISSN: 0037-9484

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Le Calvez, Patrice. "Propriétés générales des applications déviant la verticale." Bulletin de la Société Mathématique de France 117.1 (1989): 69-102. <http://eudml.org/doc/87573>.

@article{LeCalvez1989,
author = {Le Calvez, Patrice},
journal = {Bulletin de la Société Mathématique de France},
keywords = {rotation number; twist-maps; Aubry-Mather sets; Birkhoff attractors},
language = {fre},
number = {1},
pages = {69-102},
publisher = {Société mathématique de France},
title = {Propriétés générales des applications déviant la verticale},
url = {http://eudml.org/doc/87573},
volume = {117},
year = {1989},
}

TY - JOUR
AU - Le Calvez, Patrice
TI - Propriétés générales des applications déviant la verticale
JO - Bulletin de la Société Mathématique de France
PY - 1989
PB - Société mathématique de France
VL - 117
IS - 1
SP - 69
EP - 102
LA - fre
KW - rotation number; twist-maps; Aubry-Mather sets; Birkhoff attractors
UR - http://eudml.org/doc/87573
ER -

References

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  1. [ACHM]ARONSON (D.G.), CHORY (M.A.), HALL (G.R.), and MCGEHEE (R.P.). — Bifurcation from an invariant circle for two parameters families of maps of the plane : -a computer assisted study, Comm. Math. Phys., 83, 1982. Zbl0499.70034MR83j:58078
  2. [Bi]BIRKHOFF (G.D.). — Sur quelques courbes fermées remarquables, Bull. Soc. Math. France, 60, 1932, p. 1-26. — et Collected Math. Papers, vol. II, p. 444-461. Zbl0005.22002JFM58.0633.01
  3. [Bo]BOYLAND (P.L.). — Rotations sets and Morse decomposition in twist maps, Ergotic Theory Dynamical Systems, t. 8, 1988, p. 33-61. Zbl0636.58017MR90c:58146
  4. [Ca]CASDAGLI (M.). — Periodic orbits for dissipative twist maps, Ergotic Theory Dynamical Systems, t. 7, 1987, p. 165-173. Zbl0596.58038MR89b:58177
  5. [Che]CHENCINER (A.). — [Séminaire Bourbaki, n° 622], Astérisque, vol. 121-123, Soc. Math. France, 1985, p. 147-170. Zbl0582.58013
  6. [Cho]CHOQUET (G.). — Lectures on analysis, vol. II. — New-York, W. A. Benjamin, In, 1969. Zbl0181.39602
  7. [Ha]HALL (G.R.). — A topological version of a theorem of Mather on twist maps, Ergodic Theory Dynamical Systems, t. 4, 1984, p. 585-603. Zbl0564.58019MR86m:58134
  8. [He]HERMAN (M.). — Sur les courbes invariantes par les difféomorphismes de l'anneau, Astérisque, vol. 103-104, Soc. Math. France, 1983. Zbl0532.58011MR85m:58062
  9. [HH]HOCKETT (K.) and HOLMES (P.). — Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets, Ergodic Theory Dynamical Systems, t. 6, 1986, p. 205-239. Zbl0582.58020MR88m:58103
  10. [K]KATOK (A.). — Some remarks on Birkhoff and Mather twist map theorem, Ergodic Theory Dynamical Systems, t. 2, 1982, p. 185-194. Zbl0521.58048MR84m:58041
  11. [L1]LE CALVEZ (P.). — Existence d'orbites quasi-périodiques dans les attracteurs de Birkhoff, Comm. Math. Phys., t. 106, 1986, p. 383-394. Zbl0602.58031MR88a:58124
  12. [L2]LE CALVEZ (P.). — Propriétés des attracteurs de Birkhoff, Ergodic Theory Dynamical Systems, t. 8, 1987, p. 241-310. Zbl0657.58009MR90a:58103
  13. [N]NEWMAN (M.H.). — Elements of the topology of plane sets of points. — Cambridge, Cambridge University Press, 1939. Zbl0021.06704JFM65.0873.04

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