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math.DSJul 10, 2008
11
citations (OpenAlex)
authors
  • Patrick Bernard
institutions
  • Centre de Recherche en Mathématiques de la Décision
arXiv abstractPDF
paper

Perturbation d'un hamiltonien partiellement hyperbolique

arXiv:0807.1600

Abstract

Arnold's diffusion in quasi integrable hamiltonian systems occurs in exponentially large time. We study an initially hyperbolic system which admits diffusion in polynomial time.

Cited by in corpus (2)

  • Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
  • Fast Arnold's diffusion in isochronous systems
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