Open sets of Axiom A flows with exponentially mixing attractors

Araújo, V.; Butterley, O.; Varandas, P.

doi:10.1090/proc/13055

Open sets of Axiom A flows with exponentially mixing attractors
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by V. Araújo, O. Butterley and P. Varandas PDF

Proc. Amer. Math. Soc. 144 (2016), 2971-2984 Request permission

Abstract:

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