Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isochronous Dynamics in Pulse Coupled Oscillator Networks with Delay   We consider a network of identical pulse-coupled oscillators with delay and
all-to-all coupling. We demonstrate that the discontinuous nature of the
dynamics induces the appearance of isochronous regions---subsets of the phase
space filled with periodic orbits having the same period. For fixed values of
the network parameters each such isochronous region corresponds to a subset of
initial states on an appropriate surface of section with non-zero dimension
such that all periodic orbits in this set have qualitatively similar dynamical
behaviour. We analytically and numerically study in detail such an isochronous
region, give a proof of its existence, and describe its properties. We further
describe other isochronous regions that appear in the system.

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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: eess
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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: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol