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

Oliver Butterley; Paulo Varandas; V\'itor Ara\'ujo

arxiv: 1402.6654 · v3 · pith:KTMAB5NBnew · submitted 2014-02-26 · 🧮 math.DS

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

V\'itor Ara\'ujo , Oliver Butterley , Paulo Varandas This is my paper

classification 🧮 math.DS

keywords axiomexponentiallyopenvectorassociatedattractorattractorsconstruct

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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.

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

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