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    SIMIĆ, SLOBODAN N. 2016. Global cross sections for Anosov flows. Ergodic Theory and Dynamical Systems, Vol. 36, Issue. 08, p. 2661.
    Faure, Frédéric and Sjöstrand, Johannes 2011. Upper Bound on the Density of Ruelle Resonances for Anosov Flows. Communications in Mathematical Physics, Vol. 308, Issue. 2, p. 325.
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Transitive Anosov flows and Axiom-A diffeomorphisms

  • CHRISTIAN BONATTI (a1) and NANCY GUELMAN (a2)
Abstract

Let M be a smooth compact Riemannian manifold without boundary, and ϕ:M×ℝ→M a transitive Anosov flow. We prove that if the time-one map of ϕ is C1-approximated by Axiom-A diffeomorphisms with more than one attractor, then ϕ is topologically equivalent to the suspension of an Anosov diffeomorphism.

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COPYRIGHT: © Cambridge University Press 2008
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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
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