Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solitary synchronization waves in distributed oscillators populations   We demonstrate existence of solitary waves of synchrony in one-dimensional
arrays of identical oscillators with Laplacian coupling. Coarse-grained
description of the array leads to nonlinear equations for the complex order
parameter, in the simplest case to lattice equations similar to those of the
discrete nonlinear Schrodinger lattice. Close to full synchrony, we find
solitary waves for the order parameter perturbatively, starting from the known
phase compactons and kovatons; these solution are extended numerically to the
full domain of possible synchrony levels. For non-identical oscillators,
existence of dissipative solitons is demonstrated.

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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th