{ "id": "1610.02734", "version": "v1", "published": "2016-10-09T22:33:02.000Z", "updated": "2016-10-09T22:33:02.000Z", "title": "Non-trivial wandering domains for heterodimensional cycles", "authors": [ "Shin Kiriki", "Yushi Nakano", "Teruhiko Soma" ], "categories": [ "math.DS" ], "abstract": "We present a sufficient condition for a three-dimensional diffeomorphism with a heterodimensional cycle to be $C^1$-approximated by diffeomorphisms having non-trivial contracting wandering domains.", "revisions": [ { "version": "v1", "updated": "2016-10-09T22:33:02.000Z" } ], "analyses": { "keywords": [ "non-trivial wandering domains", "heterodimensional cycle", "non-trivial contracting wandering domains", "sufficient condition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }