paper

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

arXiv:1010.2768

Abstract

We study -interiors of sets of vector fields with various shadowing properties. For the case of Lipschitz shadowing property the -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

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