Title of article :
Vector fields with the oriented shadowing property
Author/Authors :
Sergei Yu. Pilyugin، نويسنده , , Sergey B. Tikhomirov، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
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 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 belonging to Int1(OrientSh) is given. Bibliography: 18 titles.
Keywords :
Vector fieldsOriented shadowingStructural stability
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS