Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial Differential Equations with Small coefficients   Classes of polynomial differential equations of degree n are considered. An
explicit upper bound on the size of the coefficients are given which implies
that each equation in the class has exactly n complex periodic solutions. In
most of the classes the upper bound can be improved when we consider real
periodic solutions. We present a proof to a recent conjecture on the number of
periodic solutions. The results are used to give upper bounds for the number of
limit cycles of polynomial two-dimensional systems.

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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th