Interiors of sets of vector fields with shadowing corresponding to certain classes of reparameterizations

Abstract

We study $C^1$-interiors of sets of vector fields with various shadowing properties. For the case of Lipschitz shadowing property the $C^1$-interior equals the set of structurally stable vector fields. If the dimension of the manifold does not exceed 3 a similar result holds for the oriented shadowing property.

10 pages. In Russian. Journal reference to english translation