{ "id": "1701.06026", "version": "v1", "published": "2017-01-21T13:46:00.000Z", "updated": "2017-01-21T13:46:00.000Z", "title": "Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion", "authors": [ "Jianlu Zhang", "Ke Zhang" ], "comment": "quasi convex Hamiltonian, Nekhoroshev estimate, Arnold diffusion", "categories": [ "math.DS" ], "abstract": "We improve the global Nekhoroshev stability for analytic quasi-convex nearly integrable Hamiltonian systems. The new stability result is optimal, as it matches the fastest speed of Arnold diffusion.", "revisions": [ { "version": "v1", "updated": "2017-01-21T13:46:00.000Z" } ], "analyses": { "subjects": [ "37J40", "70H08" ], "keywords": [ "analytic quasi-convex", "arnold diffusion", "integrable systems", "global nekhoroshev stability", "stability result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }