{ "id": "0712.0056", "version": "v1", "published": "2007-12-01T07:58:42.000Z", "updated": "2007-12-01T07:58:42.000Z", "title": "Periodic orbits of period 3 in the disc", "authors": [ "Boris Kolev" ], "comment": "7 pages", "journal": "Nonlinearity 7 (1994) 1067-1071", "doi": "10.1088/0951-7715/7/3/016", "categories": [ "math.DS" ], "abstract": "Let f be an orientation preserving homeomorphism of the disc D2 which possesses a periodic point of period 3. Then either f is isotopic, relative the periodic orbit, to a homeomorphism g which is conjugate to a rotation by 2 pi /3 or 4 pi /3, or f has a periodic point of least period n for each n in N*.", "revisions": [ { "version": "v1", "updated": "2007-12-01T07:58:42.000Z" } ], "analyses": { "subjects": [ "54H20", "58F13", "34C35" ], "keywords": [ "periodic orbit", "periodic point", "disc d2", "orientation preserving homeomorphism" ], "tags": [ "journal article" ], "publication": { "journal": "Nonlinearity", "year": 1994, "month": "May", "volume": 7, "number": 3, "pages": 1067 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1994Nonli...7.1067K" } } }