Abstract
We prove the existence of normally hyperbolic cylinders in a priori stable Hamiltonian systems the size of which is bounded from below independently of the size of the perturbation. This result should have applications to the study of Arnold’s diffusion.
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Communicated by Viviane Baladi.
membre de l’IUF.
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Bernard, P. Large Normally Hyperbolic Cylinders in a priori Stable Hamiltonian Systems. Ann. Henri Poincaré 11, 929–942 (2010). https://doi.org/10.1007/s00023-010-0040-9
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DOI: https://doi.org/10.1007/s00023-010-0040-9