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Open sets of Axiom A flows with exponentially mixing attractors

Name: Open sets of Axiom A flows with exponentially mixing attractors
Keywords: Primary: 37D20, 1010 Mathematics, 37A25, flows, SRB measure, 1010 Mathematik, attractors, 37D20 (Primary), 37A25, 37C10 (Secondary), Dynamical Systems (math.DS), Open sets,axiom A

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Mar 2016Embargo end date: 01 Jan 2014 Austria, Slovenia, Italy Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 144, pages 2,971-2,984 (issn: 0002-9939, eissn: 1088-6826,

Authors: Paulo Varandas; Oliver Butterley; Oliver Butterley; Vitor Araujo;

doi: 10.1090/proc/13055 , 10.48550/arxiv.1402.6654

arXiv: http://arxiv.org/abs/1402.6654

handle: 20.500.12556/RUNG-4180-582dfd54-0d4d-d02f-5df7-ab85705f1d47 , 2108/266126

Open sets of Axiom A flows with exponentially mixing attractors

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Abstract

For any dimension d ≥ 3 d\geq 3 we construct C 1 \mathcal {C}^{1} -open subsets of the space of C 3 \mathcal {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.

Countries

Austria, Slovenia, Italy

Related Organizations

University of Vienna
Austria
University of Rome Tor Vergata
Italy
University of Nova Gorica
Slovenia
Federal University of Western Bahia
Brazil
The Abdus Salam International Centre for Theoretical Physics (ICTP)
Italy

Keywords

Primary: 37D20, 1010 Mathematics, 37A25, flows, SRB measure, 1010 Mathematik, attractors, 37D20 (Primary), 37A25, 37C10 (Secondary), Dynamical Systems (math.DS), Open sets,axiom A, PREVALENCE, exponentially mixing, Axiom A flow, Robust exponential decay of correlation, Secondary: 37C10, FOS: Mathematics, Mathematics - Dynamical Systems, Settore MAT/07 - FISICA MATEMATICA, DECAY

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