Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic Test for Asymptotic Stability of Periodic Orbits for
  Polynomial Systems   We will address the problem of determining the existence and asymptotic
stability of a non-trivial periodic orbit in dynamical systems described by
polynomial vector fields. To this end, we will lean upon the celebrated results
of Borg, Olech and Hartman and newer results of Giesl, who all employ the
concept of contraction for this purpose. Importantly, we formulate a
numerically tractable algebraic test. The developed algorithm is illustrated in
a numerical example.

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin