Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Painlev\'e analysis and integrability of three-dimensional Armbruster
  Guckenheimer Kim galactic potential   The three-dimensional Armbruster Guckenheimer Kim galactic potential in the
general form is considered. The integrability of this problem is performed by
using the Painlev\'e analysis. We report three cases of integrability, exact
integrals of motion are obtained explicitly for each case. A numerical
experiment is provided to investigate the classical phase space and explore
chaos-order-chaos phenomenon.

17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph