Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Volterra's realization of the KM-system   We construct a symplectic realization of the KM-system and obtain the higher
order Poisson tensors and commuting flows via the use of a recursion operator.
This is achieved by doubling the number of variables through Volterra's
coordinate transformation. An application of Oevel's theorem yields master
symmetries, invariants and deformation relations.

16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga