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
Pages :
31
From page :
1345
To page :
1375
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
Serial Year :
2010
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number :
751698
Link To Document :
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