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

Vítor Araújo; Oliver Butterley; Paulo Varandas

doi:10.1090/proc/13055

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

Dynamical Systems 2018-04-03 v3

Authors: Vítor Araújo , Oliver Butterley , Paulo Varandas

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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.

Keywords

axiom a flows exponentially mixing attractors srb measure vector fields open sets

Cite

@article{arxiv.1402.6654,
  title  = {Open sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum)},
  author = {Vítor Araújo and Oliver Butterley and Paulo Varandas},
  journal= {arXiv preprint arXiv:1402.6654},
  year   = {2018}
}

Comments

15 pages, no figures; content as published in journal; includes text of the Erratum as an appendix

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

Abstract

Keywords

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