Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Yang-Mills fields system in the homogeneous
  (anti-)self-dual background field   Stability of Yang-Mills fields system in the background field is investigated
basing on Toda criterion, Poincare sections and the values of the maximal
Lyapunov exponents. The existence of the region of regular motion at low
densities of energy is demonstrated. Critical energy density of the order-chaos
transition is analyzed for the different values of the model parameter.

37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga