Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Painleve equations: coalescences, limits and degeneracies   Starting from the standard form of the five discrete Painlev\'e equations we
show how one can obtain (through appropriate limits) a host of new equations
which are also the discrete analogues of the continuous Painlev\'e equations. A
particularly interesting technique is the one based on the assumption that some
simplification takes place in the autonomous form of the mapping following
which the deautonomization leads to a new $n$-dependence and introduces more
new discrete Painlev\'e equations.

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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat