Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of a natural partition of incomplete horseshoes   A method is presented to construct a partition of an incomplete horseshoe in
a Poincare map which is only based on unstable manifolds of outermost fixed
points and eventually their limits. Thereby this partition becomes natural from
the point of view of asymptotic scattering observations. The symbolic dynamics
derived from this partition coincides with the one derived from the
hierarchical structure of the singularities of scattering functions.

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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn