{ "id": "1004.1014", "version": "v2", "published": "2010-04-07T06:42:24.000Z", "updated": "2010-11-08T10:41:25.000Z", "title": "Improved exponential stability for near-integrable quasi-convex Hamiltonians", "authors": [ "Abed Bounemoura", "Jean-Pierre Marco" ], "categories": [ "math.DS" ], "abstract": "In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper upper bound on the speed of Arnold diffusion which we believe to be optimal.", "revisions": [ { "version": "v2", "updated": "2010-11-08T10:41:25.000Z" } ], "analyses": { "keywords": [ "near-integrable quasi-convex hamiltonians", "exponential stability", "sharper upper bound", "quasi-convex integrable hamiltonian systems", "gevrey perturbations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1004.1014B" } } }