Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable Maps which Preserve Functions with Symmetries   We consider maps which preserve functions which are built out of the
invariants of some simple vector fields. We give a reduction procedure, which
can be used to derive commuting maps of the plane, which preserve the same
symplectic form and first integral. We show how our method can be applied to
some maps which have recently appeared in the context of Yang-Baxter maps.

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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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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: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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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: quant-ph