Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiconjugate Factorization and Reduction of Order in Difference
  Equations   We discuss a general method by which a higher order difference equation on a
group is transformed into an equivalent triangular system of two difference
equations of lower orders. This breakdown into lower order equations is based
on the existence of a semiconjugate relation between the unfolding map of the
difference equation and a lower dimensional mapping that unfolds a lower order
difference equation. Substantial classes of difference equations are shown to
possess this property and for these types of equations reductions of order are
obtained. In some cases a complete semiconjugate factorization into a
triangular system of first order equations is possible.

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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci