Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Particle Motion in the Stable Region Near an Edge of a Linear
  Half-Integer Stopband   This paper studies the motion of a particle whose tune is inside and near a
linear half-integer stopband. Results are found for the tune and beta functions
in the stable region close to an edge of the stopband. It is shown that the
eigenvalues and the eigenfunctions of the transfer matrix are real inside the
stopband. All the results found are also valid for small accelerators where the
large accelerator approximation is not used.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th