Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distinguishing between order and chaos in a simple barred galaxy model   We use a simple dynamical model in order to investigate the regular or
chaotic character of orbits in a barred galaxy with a central, spherically
symmetric, dense nucleus and a flat disk. In particular, we explore how the
total orbital energy influences the overall orbital structure of the system, by
computing in each case the percentage of regular, sticky and chaotic orbits. In
an attempt to distinguish safely and with certainty between ordered and chaotic
motion, we apply the Smaller ALingment Index (SALI) as a chaos detector to
extensive samples of orbits obtained by integrating numerically the basic
equations of motion as well as the variational equations. We integrate large
sets of initial conditions of orbits in several types of two dimensional planes
for better understanding of the orbital properties. Our numerical calculations
suggest, that the value of the energy has a huge impact on the percentages of
the orbits, thus indicating that a rotating barred galaxy is indeed a very
interesting stellar quantity.

34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn