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INVERSE SHADOWING FOR EXPANSIVE FLOWS

  • Lee, Keon-Hee (Department of Mathematics, Chungnam National University) ;
  • Lee, Zoon-Hee (Department of Mathematics, Chungnam National University)
  • Published : 2003.11.01

Abstract

We extend the notion of inverse shadowing defined for diffeomorphisms to flows, and show that an expansive flow on a compact manifold with the shadowing property has the inverse shadowing property with respect to the classes of continuous methods. As a corollary we obtain that a hyperbolic flow also has the inverse shadowing property with respect to the classes of continuous methods.

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Cited by

  1. Lipschitz inverse shadowing for non-singular flows vol.29, pp.1, 2014, https://doi.org/10.1080/14689367.2013.842958
  2. Inverse shadowing for structurally stable flows vol.19, pp.4, 2004, https://doi.org/10.1080/1468936042000269569
  3. Divergence-free vector fields with inverse shadowing vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-1847-2013-337