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CONTINUOUS SHADOWING AND INVERSE SHADOWING FOR FLOWS
Lee, Keonhee,Lee, Manseob,Lee, Zoonhee 충청수학회 2007 충청수학회지 Vol.20 No.3
The notions of continuous shadowing and inverse shadowing for flows are introduced, and show that an expansive flow on a compact manifold with the shadowing property has the continuous shadowing property. Moreover it is proved that the continuous shadowing property implies the inverse shadowing property.
Inverse shadowing for expansive flows
이건희,Zoonhee Lee 대한수학회 2003 대한수학회보 Vol.40 No.4
We extend the notion of inverse shadowing defined fordiffeomorphisms to flows, and show that an expansive flow on acompact manifold with the shadowing property has the inverseshadowing property with respect to the classes of continuousmethods. As a corollary we obtain that a hyperbolic flow also hasthe inverse shadowing property with respect to the classes ofcontinuous methods.