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Large Normally Hyperbolic Cylinders in a priori Stable Hamiltonian Systems

Bernard, Patrick (2010), Large Normally Hyperbolic Cylinders in a priori Stable Hamiltonian Systems, Annales Henri Poincaré, 11, 5, p. 929-942. http://dx.doi.org/10.1007/s00023-010-0040-9

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/0912.0591v2
Date
2010
Journal name
Annales Henri Poincaré
Volume
11
Number
5
Publisher
Springer
Pages
929-942
Publication identifier
Metadata
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Author(s)
Bernard, Patrick cc
Abstract (EN)
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.
Subjects / Keywords
hyperbolic cylinders; Arnold’s diffusion; stable Hamiltonian systems