Bulletin of the
Korean Mathematical Society BKMS

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.

Keywords: flow, expansive, method, shadowing, inverse shadowing

MSC numbers: Primary 37C50; Secondary 37D20