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math.DSMar 13, 2012
3
citations (OpenAlex)
authors
  • Patrick Bernard
institutions
  • Centre de Recherche en Mathématiques de la Décision
arXiv abstractPDF
paper

Arnold's Diffusion: from the a priori unstable to the a priori stable case

arXiv:1203.2893

Abstract

We expose some selected topics concerning the instability of the action variables in a priori unstable Hamiltonian systems, and outline a new strategy that may allow to apply these methods to a priori stable systems.

Cited by in corpus (1)

  • Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
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