Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear flows on compact, semisimple Lie groups: stability, periodic
  orbits, and Poincar\'e-Bendixon's Theorem   Our first purpose is to study the stability of linear flows on real,
connected, compact, semisimple Lie groups. After, we study and classify
periodic orbits of linear and invariant flows. In particular, we obtain a
version of Poincar\'e-Bendixon's Theorem. As an application, we present
periodic orbits of linear or invariant flows on $SO(3)$ or $SU(2)$, and we
classify periodic orbits of a linear or invariant system on $SO(4)$.

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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex