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

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

2010-10-13

arxiv.org/abs/1010.2768v1

Vestnik St. Petersburg Univ. Math. 41 (2008), no. 4, 360-366

Mathematics

Dynamical Systems

10 pages. In Russian. Journal reference to english translation

Scientific paper

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.

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