Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational Instability of Perturbations in a Background Nonlinear
  Nonstationary Model of a Disk-Like System. IV. Formation of two-ring
  structures in galaxies   In order to identify the exact criteria for the formation of two-ring
structures in galaxies, we studied the issue of gravitational instability of
the corresponding structural vibration modes against the background of a
composite disk model [1-3], which has an exact nonlinear law of
nonstationarity. Nonstationary analogs of dispersion equations for the given
structural vibration modes of the model are derived and the results of their
analysis are obtained. A comparative analysis of the increments of
instabilities of ring-like oscillation modes is carried out to determine the
dependence of their characteristic times of manifestation on the main physical
parameters of the model.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin