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arXiv 2010-10-13 0 views

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

Tikhomirov, Sergey

Original · EN

We study C¹-interiors of sets of vector fields with various shadowing properties. For the case of Lipschitz shadowing property the C¹-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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