Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators   We study the chaotic behavior of the synchronization phase transition in the
Kuramoto model. We discuss the relationship with analogous features found in
the Hamiltonian Mean Field (HMF) model. Our numerical results support the
connection between the two models, which can be considered as limiting cases
(dissipative and conservative, respectively) of a more general dynamical system
of damped-driven coupled pendula. We also show that, in the Kuramoto model, the
shape of the phase transition and the largest Lyapunov exponent behavior are
strongly dependent on the distribution of the natural frequencies.

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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ