Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localized Structures in Nonlinear Lattices with Diffusive Coupling and
  External Driving   We study the stabilization of localized structures by discreteness in
one-dimensional lattices of diffusively coupled nonlinear sites. We find that
in an external driving field these structures may lose their stability by
either relaxing to a homogeneous state or nucleating a pair of oppositely
moving fronts. The corresponding bifurcation diagram demonstrates a cusp
singularity. The obtained analytic results are in good quantitative agreement
with numerical simulations.

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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph