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Propriétés générales des applications déviant la verticale

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Publication:3200288
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DOI10.24033/bsmf.2113zbMath0714.58032OpenAlexW2585330814MaRDI QIDQ3200288

Patrice Le Calvez

Publication date: 1989

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1989__117_1_69_0


zbMATH Keywords

rotation numberAubry-Mather setsBirkhoff attractorstwist-maps


Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40) Rotation numbers and vectors (37E45)


Related Items

Propriétés dynamiques des régions d'instabilité ⋮ Variational Construction of Orbits of Twist Diffeomorphisms



Cites Work

  • Existence d'orbites quasi-périodiques dans les attracteurs de Birkhoff. (Existence of quasiperiodic orbits in Birkhoff attractors)
  • Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
  • Periodic orbits for dissipative twist maps
  • Rotation sets and Morse decompositions in twist maps
  • Propriétés des attracteurs de Birkhoff
  • Sur quelques courbes fermées remarquables
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