Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian Systems with convex Hamiltonians.

A. Katok; D. Bernstein

Inventiones mathematicae (1987)

  • Volume: 88, page 225-242
  • ISSN: 0020-9910; 1432-1297/e

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Katok, A., and Bernstein, D.. "Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian Systems with convex Hamiltonians.." Inventiones mathematicae 88 (1987): 225-242. <http://eudml.org/doc/143452>.

@article{Katok1987,
author = {Katok, A., Bernstein, D.},
journal = {Inventiones mathematicae},
keywords = {perturbation; integrable Hamiltonian systems; convex Hamiltonian; KAM theory; periodic orbits},
pages = {225-242},
title = {Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian Systems with convex Hamiltonians.},
url = {http://eudml.org/doc/143452},
volume = {88},
year = {1987},
}

TY - JOUR
AU - Katok, A.
AU - Bernstein, D.
TI - Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian Systems with convex Hamiltonians.
JO - Inventiones mathematicae
PY - 1987
VL - 88
SP - 225
EP - 242
KW - perturbation; integrable Hamiltonian systems; convex Hamiltonian; KAM theory; periodic orbits
UR - http://eudml.org/doc/143452
ER -

Citations in EuDML Documents

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  1. Meysam Nassiri, Enrique R. Pujals, Robust transitivity in hamiltonian dynamics
  2. Michael R. Herman, Existence et non existence de tores invariants par des difféomorphismes symplectiques
  3. John N. Mather, Variational construction of connecting orbits
  4. Massimiliano Berti, Luca Biasco, Enrico Valdinoci, Periodic orbits close to elliptic tori and applications to the three-body problem
  5. Michael R. Herman, Inégalités a priori pour des tores lagrangiens invariants par des difféomorphismes symplectiques

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