Open sets of Axiom A flows with exponentially mixing attractors

Open sets of Axiom A flows with exponentially mixing attractors

For any dimension d≥3d\geq 3 we construct C1\mathcal {C}^{1}-open subsets of the space of C3\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.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2016-07, Vol.144 (7), p.2971-2984
Hauptverfasser: Araújo, V., Butterley, O., Varandas, P.
Format: Artikel
Sprache:eng
Schlagworte:
B. ANALYSIS
Research article
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Zusammenfassung:For any dimension d≥3d\geq 3 we construct C1\mathcal {C}^{1}-open subsets of the space of C3\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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13055