Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic orbits for an infinite family of classical superintegrable
  systems   We show that all bounded trajectories in the two dimensional classical system
with the potential $V(r,\phi)=\omega^2 r^2+ \frac{\al k^2}{r^2 \cos^2 {k
\phi}}+ \frac{\beta k^2}{r^2 \sin^2 {k \phi}}$ are closed for all integer and
rational values of $k$. The period is $T=\frac{\pi}{2\omega}$ and does not
depend on $k$. This agrees with our earlier conjecture suggesting that the
quantum version of this system is superintegrable.

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The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
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The categories of this paper are: chem-ph