{ "id": "1306.2061", "version": "v1", "published": "2013-06-09T20:55:00.000Z", "updated": "2013-06-09T20:55:00.000Z", "title": "On Various Types of Shadowing for Geometric Lorenz Flows", "authors": [ "A. Arbieto", "J. E. Reis", "R. Ribeiro" ], "comment": "18 pages, 7 figures", "categories": [ "math.DS" ], "abstract": "We show that Lorenz flows have neither limit shadowing property nor average shadowing property nor the asymptotic average shadowing property where the reparametrizations related to these concepts relies on the set of increasing homeomorphisms with bounded variation.", "revisions": [ { "version": "v1", "updated": "2013-06-09T20:55:00.000Z" } ], "analyses": { "subjects": [ "37C50", "37D45", "37C10" ], "keywords": [ "geometric lorenz flows", "asymptotic average shadowing property", "limit shadowing property", "concepts relies", "increasing homeomorphisms" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.2061A" } } }