Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On One Approach to Investigation of Mechanical Systems   The paper presents some results of qualitative analysis of Kirchhoff's
differential equations describing motion of a rigid body in ideal fluid in
Sokolov's case. The research methods are based on Lyapunov's classical results.
Methods of computer algebra implemented in the computer algebra system (CAS)
"Mathematica" were also used. Combination of these methods allowed us to obtain
rather detailed information on qualitative properties for some classes of
solutions of the equations.

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The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin