{ "id": "1810.09423", "version": "v1", "published": "2018-10-22T17:42:37.000Z", "updated": "2018-10-22T17:42:37.000Z", "title": "KAM THEORY. Part 3. Applications", "authors": [ "Mauricio Garay", "Duco van Straten" ], "categories": [ "math.DS" ], "abstract": "We apply the general normal form theorems in Kolmogorov spaces to three classical cases: deformations of hypersurface singularities, normal forms of vector fields and invariant tori in Hamiltonian systems.", "revisions": [ { "version": "v1", "updated": "2018-10-22T17:42:37.000Z" } ], "analyses": { "subjects": [ "37J40" ], "keywords": [ "kam theory", "applications", "general normal form theorems", "kolmogorov spaces", "invariant tori" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }