{ "id": "1303.4245", "version": "v1", "published": "2013-03-18T13:29:25.000Z", "updated": "2013-03-18T13:29:25.000Z", "title": "Cyclicity in families of circle maps", "authors": [ "O Kozlovski" ], "categories": [ "math.DS" ], "abstract": "In this paper we will study families of circle maps of the form $x\\mapsto x+2\\pi r + a f(x) \\pmod{2\\pi}$ and investigate how many periodic trajectories maps from this family can have for a \"typical\" function $f$ provided the parameter $a$ is small.", "revisions": [ { "version": "v1", "updated": "2013-03-18T13:29:25.000Z" } ], "analyses": { "keywords": [ "circle maps", "periodic trajectories maps", "study families" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1303.4245K" } } }