Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete breathers in an array of self-excited oscillators: exact
  solutions and stability   Dynamics of array of coupled self-excited oscillators is considered. Model of
Franklin bell is adopted as a mechanism for the self-excitation. The model
allows derivation of exact analytic solutions for discrete breathers (DBs), and
extensive exploration of their stability in the space of parameters. The DB
solutions exist for all frequencies in the attenuation zone, but lose stability
via Neimark-Sacker bifurcation near the boundary of propagation zone. Besides
the well-known DBs with exponential localization, the considered system
possesses additional and novel type of solutions - discrete breathers with main
frequency in the propagation zone of the chain. The amplitude of oscillations
in this solution is maximal at the localization site and then exponentially
approaches constant value at infinity. We also derive these solutions in closed
analytic form. They are stable in a narrow region of system parameters bounded
by Neimark-Sacker and pitchfork bifurcations.

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The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th