Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612540 | Journal of Differential Equations | 2010 | 31 Pages |
Abstract
We give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields on a smooth closed manifold that have the oriented shadowing property. A special class B of vector fields that are not structurally stable is introduced. It is shown that the set coincides with the set of structurally stable vector fields. An example of a field of the class B belonging to Int1(OrientSh) is given. Bibliography: 18 titles.
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