Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic limits of closed orbits for some Newtonian systems in R^n   We deal with a Newtonian system like x'' + V'(x) = 0. We suppose that V: \R^n
\to \R possesses an (n-1)-dimensional compact manifold M of critical points,
and we prove the existence of arbitrarity slow periodic orbits. When the period
tends to infinity these orbits, rescaled in time, converge to some closed
geodesics on M.

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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: eess