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Open sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum)
- 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
- Subjects :
- Mathematics - Dynamical Systems
37D20 (Primary), 37A25, 37C10 (Secondary)
Subjects
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