Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stability problem and special solutions for the 5-components
  Maxwell-Bloch equations   For the 5-components Maxwell-Bloch system the stability problem for the
isolated equilibria is completely solved. Using the geometry of the symplectic
leaves, a detailed construction of the homoclinic orbits is given. Studying the
problem of invariant sets for the system we discover a rich family of periodic
solutions in explicit form.

10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph