Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Onset of Synchronization in Systems of Globally Coupled Chaotic and
  Periodic Oscillators   A general stability analysis is presented for the determination of the
transition from incoherent to coherent behavior in an ensemble of globally
coupled, heterogeneous, continuous-time dynamical systems. The formalism allows
for the simultaneous presence of ensemble members exhibiting chaotic and
periodic behavior, and, in a special case, yields the Kuramoto model for
globally coupled periodic oscillators described by a phase. Numerical
experiments using different types of ensembles of Lorenz equations with a
distribution of parameters are presented.

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph