{ "id": "math/0204151", "version": "v4", "published": "2002-04-11T11:15:30.000Z", "updated": "2002-06-18T19:37:50.000Z", "title": "Action-angle coordinates for time-dependent completely integrable Hamiltonian systems", "authors": [ "G. Giachetta", "L. Mangiarotti", "G. Sardanashvily" ], "comment": "9 pages", "doi": "10.1088/0305-4470/35/29/102", "categories": [ "math.DS", "math-ph", "math.MP" ], "abstract": "A time-dependent completely integrable Hamiltonian system is proved to admit the action-angle coordinates around any regular instantly compact invariant manifold. Written relative to these coordinates, its Hamiltonian and first integrals are functions only of action coordinates.", "revisions": [ { "version": "v4", "updated": "2002-06-18T19:37:50.000Z" } ], "analyses": { "subjects": [ "70H06" ], "keywords": [ "integrable hamiltonian system", "action-angle coordinates", "time-dependent", "regular instantly compact invariant manifold", "action coordinates" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }