Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low-dimensional chaos in RR Lyrae models   The recent precise photometric observations and successes of the modelling
efforts transformed our picture of the pulsation of RR Lyrae stars. The
discovery of additional frequencies and the period doubling phenomenon revealed
that a significant interaction may occur between pulsational modes. The signs
of irregularities were detected both in observed light curves and hydrodynamic
calculations.
  In this paper we present the analysis of four peculiar hydrodynamic model
solutions. All four solutions were found to be chaotic. The fractal (Lyapunov)
dimensions of their attractors were calculated to be ~2.2. We also investigated
possible resonances between the fundamental mode and the first overtone in the
dynamical neighbourhood of these models. The most important is the 6:8
resonance that was also detected in the Kepler observations of RR Lyrae itself.
These results reveal that the investigation of chaotic models is important in
discovering and understanding resonances in RR Lyrae stars.

27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat