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Habilitation à diriger des recherches

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
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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 : Wednesday, November 4, 2020 - 2:07:45 PM
Long-term archiving on: : Monday, September 6, 2010 - 11:42:49 AM

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  • HAL Id : tel-00008074, version 1

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Patrick Bernard. La dynamique des systèmes hamiltoniens presque intégrables. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2004. ⟨tel-00008074⟩

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