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Open sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum)

Authors :
Araújo, Vítor
Butterley, Oliver
Varandas, Paulo
Source :
Proceedings of the American Mathematical Society, 144(7), 2971-2984 (2016)
Publication Year :
2014

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.<br />Comment: 15 pages, no figures; content as published in journal; includes text of the Erratum as an appendix

Details

Database :
arXiv
Journal :
Proceedings of the American Mathematical Society, 144(7), 2971-2984 (2016)
Publication Type :
Report
Accession number :
edsarx.1402.6654
Document Type :
Working Paper
Full Text :
https://doi.org/10.1090/proc/13055