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math.DSDec 1, 2009
9
citations (OpenAlex)
authors
  • Patrick Bernard
institutions
  • Centre de Recherche en Mathématiques de la Décision
  • Centre National de la Recherche Scientifique
arXiv abstractPDF
paper

Large normally hyperbolic cylinders in a priori stable Hamiltonian systems

arXiv:0912.0591 · doi:10.1007/s00023-010-0040-9

Abstract

We prove the existence of normally hyperbolic invariant cylinders in nearly integrable hamiltonian systems.

Cited by in corpus (3)

  • Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
  • Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
  • Asymptotic trajectories of KAM torus
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