Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-dimensional chimera patterns in networks of spiking neuron
  oscillators   We study the stable spatiotemporal patterns that arise in a 3D network of
neuron oscillators, whose dynamics is described by the Leaky Integrate-and-Fire
(LIF) model. More specifically, we investigate the form of the chimera states
induced by a 3D coupling matrix with nonlocal topology. The observed patterns
are in many cases direct generalizations of the corresponding 2D patterns,
e.~g. spheres, layers and cylinder grids. We also find cylindrical and
"cross-layered" chimeras that do not have an equivalent in 2D systems.
Quantitative measures are calculated, such as the ratio of synchronized and
unsynchronized neurons as a function of the coupling range, the mean phase
velocities and the distribution of neurons in mean phase velocities. Based on
these measures the chimeras are categorized in two families. The first family
of patterns is observed for weaker coupling and exhibits higher mean phase
velocities for the unsynchronized areas of the network. The opposite holds for
the second family where the unsynchronized areas have lower mean phase
velocities. The various measures demonstrate discontinuities, indicating
criticality as the parameters cross from the first family of patterns to the
second.

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The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
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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: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci