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

Bounemoura, Abed; Kaloshin, Vadim

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

Number

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