Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector Fields with the Oriented Shadowing Property   We give a description of the $\Cone$-interior ($\Int^1(\OrientSh)$) of the
set of smooth vector fields on a smooth closed manifold that have the oriented
shadowing property. A special class $\Bb$ of vector fields that are not
structurally stable is introduced. It is shown that the set
$\Int^1(\OrientSh\setminus\Bb)$ coincides with the set of structurally stable
vector fields. An example of a field of the class $\Bb$ belonging to
$\Int^1(\OrientSh)$ is given. Bibliography: 18 titles.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin