Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable attractors in the three-dimensional general relativistic
  Poynting-Robertson effect   We prove the stability of the critical hypersurfaces associated with the
three-dimensional general relativistic Poynting-Robertson effect. The
equatorial ring configures to be as a stable attractor and the whole critical
hypersurface as a basin of attraction for this dynamical system. We introduce a
new, simpler (in terms of calculations), and more physical approach within the
Lyapunov theory. We propose three different Lyapunov functions, each one
carrying important information and very useful for understanding such
phenomenon under different aspects.

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The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph