Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fix-lines and stability domain in the vicinity of the coupled third
  order resonance   The single particle stability in a circular accelerator is of concern
especially for operational regimes involving beam storage of hours. In the
proximity to a resonance this stability domain shrinks, and the phase space
fragments into a jungle of exotic objects like for instance "fix-lines". The
concept of fix-points is easily understandable in a 2D phase space. It becomes
quite challenging when the effect of resonances is considered in the 4D phase
space, which leads then to the concept of fix-lines. In this paper we
investigate the fix-lines in the proximity of a coupled third order resonance
and find the relation of these objects with the stability of motion.

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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph