Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Choreographies in the Discrete Nonlinear Schr\"odinger Equations   We study periodic solutions of the discrete nonlinear Schr\"{o}dinger
equation (DNLSE) that bifurcate from a symmetric polygonal relative equilibrium
containing $n$ sites. With specialized numerical continuation techniques and a
varying physically relevant parameter we can locate interesting orbits,
including infinitely many choreographies. Many of the orbits that correspond to
choreographies are stable, as indicated by Floquet multipliers that are
extracted as part of the numerical continuation scheme, and as verified
\textit{a posteriori} by simple numerical integration. We discuss the physical
relevance and the implications of our results.

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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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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-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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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: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol