Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective equation for two coupled oscillators: towards a global view of
  metamorphoses of the amplitude profiles   Dynamics of nonlinear coupled driven oscillators is investigated. Recently,
we have demonstrated that the amplitude profiles -- dependence of the amplitude
$A$ on frequency $\Omega$ of the driving force, computed by asymptotic methods
in implicit form as $F\left( A,\Omega \right) =0$, permit prediction of
metamorphoses of dynamics which occur at singular points of the implicit curve
$F\left( A,\Omega \right) =0$. In the present study we strive at a global view
of singular points of the amplitude profiles computing bifurcation sets, i.e.
sets containing all points in the parameter space for which the amplitude
profile has a singular point.

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The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con