Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of the Introduction of Impurities on the Stability Properties of
  Multibreathers at Low Coupling   sing a theorem dubbed the {\em Multibreather Stabiliy Theorem} [Physica D 180
(2003) 235-255] we have obtained the stability properties of multibreathers in
systems of coupled oscillators with on-site potentials, with an inhomogeneity.
Analytical results are obtained for 2-site, 3-site breathers, multibreathers,
phonobreathers and dark breathers. The inhomogeneity is considered both at the
on-site potential and at the coupling terms. All the results have been checked
numerically with excellent agreement. The main conclusion is that the
introduction of a impurity does not alter the stability properties.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: econ