Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous Darboux polynomials and generalising integrable ODE systems   We show that any system of ODEs can be modified whilst preserving its
homogeneous Darboux polynomials. We employ the result to generalise a hierarchy
of integrable Lotka-Volterra systems.

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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: cond-mat