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
TypeArticle accepté pour publication ou publié
External document linkhttp://arxiv.org/abs/1304.3050v1
Journal nameMoscow Mathematical Journal
MetadataShow full item record
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 / KeywordsArnold diffusion; linear diffusion; superconductivity channels; Nekhoroshev theory; convexity; resonant normal forms
Showing items related by title and author.