{ "id": "0709.4501", "version": "v1", "published": "2007-09-27T21:18:25.000Z", "updated": "2007-09-27T21:18:25.000Z", "title": "The Number of Periodic Orbits of a Rational Difference Equation", "authors": [ "Eric Bedford", "Kyounghee Kim" ], "categories": [ "math.DS" ], "abstract": "We show how a variant of the Lefschetz Fixed Point Theorem may be used to count the number of periodic orbits for certain rational difference equations.", "revisions": [ { "version": "v1", "updated": "2007-09-27T21:18:25.000Z" } ], "analyses": { "subjects": [ "37F99", "39A99" ], "keywords": [ "rational difference equation", "periodic orbits", "lefschetz fixed point theorem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0709.4501B" } } }