Article ID Journal Published Year Pages File Type
4612540 Journal of Differential Equations 2010 31 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis