Vector fields with the oriented shadowing property
Resource
Journal of Differential Equations, 248(6), 1345-1375
Journal
Journal of Differential Equations
Pages
1345-1375
Date Issued
2010
Date
2010
Author(s)
Pilyugin, Sergei Yu.
Tikhomirov, Sergey B.
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 Int1 (OrientSh {set minus} B) 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. © 2009 Elsevier Inc. All rights reserved.
Type
journal article
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