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Generic Fast Diffusion for a Class of Non-Convex Hamiltonians with Two Degrees of Freedom

Bounemoura, Abed; Kaloshin, Vadim (2014), Generic Fast Diffusion for a Class of Non-Convex Hamiltonians with Two Degrees of Freedom, Moscow Mathematical Journal, 14, 2, p. 181-203

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/1304.3050v1
Date
2014
Journal name
Moscow Mathematical Journal
Volume
14
Number
2
Publisher
AMS
Pages
181-203
Metadata
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Author(s)
Bounemoura, Abed

Kaloshin, Vadim
Abstract (EN)
In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees of freedom, and we prove a result of diffusion for an open and dense set of perturbations, with an optimal time of diffusion which grows linearly with respect to the inverse of the size of the perturbation.
Subjects / Keywords
Arnold diffusion; linear diffusion; superconductivity channels; Nekhoroshev theory; convexity; resonant normal forms

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