{ "id": "1802.02858", "version": "v1", "published": "2018-02-08T14:00:31.000Z", "updated": "2018-02-08T14:00:31.000Z", "title": "Non-resonant tori in symplectic twist maps without conjugate points", "authors": [ "Marc Arcostanzo" ], "categories": [ "math.DS" ], "abstract": "We study the dynamics of a symplectic twist map without conjugate points. We show that in a neighborhood of a totally periodic Lagrangian manifold, there exists a large family of invariant Lagrangian tori on which the twist map is conjugated to a translation of non-resonant vector.", "revisions": [ { "version": "v1", "updated": "2018-02-08T14:00:31.000Z" } ], "analyses": { "keywords": [ "symplectic twist map", "conjugate points", "non-resonant tori", "invariant lagrangian tori", "totally periodic lagrangian manifold" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }