Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Algorithm for Proving Global Asymptotic Stability of Rational
  Difference Equations   Global asymptotic stability of rational difference equations is an area of
research that has been well studied. In contrast to the many current methods
for proving global asymptotic stability, we propose an algorithmic approach.
The algorithm we summarize here employs the idea of contractions. Given a
particular rational difference equation, defined by a function $Q$ which maps
the $k+1$ dimensional real numbers to itself, we attempt to find an integer,
$K$, for which $Q^K$ shrinks distances to the difference equation's equilibrium
point. We state some general results that our algorithm has been able to prove,
and also mention the implementation of our algorithm using Maple.

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The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn