{ "id": "1909.05559", "version": "v1", "published": "2019-09-12T10:44:09.000Z", "updated": "2019-09-12T10:44:09.000Z", "title": "Critical intermittency in rational maps", "authors": [ "Ale Jan Homburg", "Han Peters" ], "comment": "13 pages", "categories": [ "math.DS" ], "abstract": "This paper will provide and study examples of iterated function systems by two rational maps on the Riemann sphere that give rise to critical intermittency. The main ingredient for this is a superattracting fixed point for one map that is mapped onto a common repelling fixed point by the other map.", "revisions": [ { "version": "v1", "updated": "2019-09-12T10:44:09.000Z" } ], "analyses": { "subjects": [ "37F10", "37H10" ], "keywords": [ "rational maps", "critical intermittency", "riemann sphere", "main ingredient", "iterated function systems" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }