{ "id": "1402.6654", "version": "v2", "published": "2014-02-26T19:24:24.000Z", "updated": "2015-03-19T21:44:05.000Z", "title": "Open sets of Axiom A flows with Exponentially Mixing Attractors", "authors": [ "Vítor Araújo", "Oliver Butterley", "Paulo Varandas" ], "categories": [ "math.DS" ], "abstract": "For any dimension $d\\geq 3$ we construct $C^{1}$-open subsets of the space of $C^{3}$ vector fields such that the flow associated to each vector field is Axiom A and exhibits a non-trivial attractor which mixes exponentially with respect to the unique SRB measure.", "revisions": [ { "version": "v1", "updated": "2014-02-26T19:24:24.000Z", "comment": "Comments welcome", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-03-19T21:44:05.000Z" } ], "analyses": { "subjects": [ "37D20", "37A25", "37C10" ], "keywords": [ "exponentially mixing attractors", "open sets", "vector field", "unique srb measure", "open subsets" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.6654A" } } }