Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The separation of variables and bifurcations of first integrals in one
  problem of D.N.Goryachev   The equations of motion in one partial integrable case of D.N.Goryachev in
the rigid body dynamics are separated by the real change of variables. We
obtain the Abel--Jacobi equations with the polynomial of degree 6 under the
radical. The natural phase variables (components of the momentum and the
momentum force) are expressed via separated variables explicitly in elementary
algebraic functions. Basing on these expressions the phase topology of the
system is described.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con