La dynamique des systèmes hamiltoniens presque intégrables

Abstract : This text is a panorama on the problem of Arnold's diffusion, which consists in understanding the evolution of action variables in near-integrable Hamiltonian systems. I present the construction of Arnold, as well as the more recent variational methods introduced by John Mather. I explain what the large gap problem is, and I present the equivalence relation on action variables which I have used to obtain one solution of this problem.
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Habilitation à diriger des recherches
Mathematics. Université Joseph-Fourier - Grenoble I, 2004
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https://tel.archives-ouvertes.fr/tel-00008074
Contributor : Arlette Guttin-Lombard <>
Submitted on : Friday, January 14, 2005 - 4:28:30 PM
Last modification on : Friday, January 14, 2005 - 4:28:30 PM

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Patrick BERNARD. La dynamique des systèmes hamiltoniens presque intégrables. Mathematics. Université Joseph-Fourier - Grenoble I, 2004. <tel-00008074>

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