{ "id": "1603.06905", "version": "v1", "published": "2016-03-22T18:51:37.000Z", "updated": "2016-03-22T18:51:37.000Z", "title": "Topological conjugation of one dimensional maps", "authors": [ "Makar Plakhotnyk" ], "comment": "Draft of the book", "categories": [ "math.DS" ], "abstract": "Topological conjugateness of one dimensional unimodal dynamical systems, which are generated by interval [0, 1] into itself maps are studied. We study the smoothness and differentiability of the conjugacy of symmetrical and non-symmetrical tent maps. Also weprove the extremal property of the length of the graph of the conjugacy of symmetrical and non-symmetrical tent maps.", "revisions": [ { "version": "v1", "updated": "2016-03-22T18:51:37.000Z" } ], "analyses": { "subjects": [ "01A60", "37-03", "37E05" ], "keywords": [ "dimensional maps", "topological conjugation", "non-symmetrical tent maps", "dimensional unimodal dynamical systems", "extremal property" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160306905P" } } }