Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaos in Symmetric Phase Oscillator Networks   Phase-coupled oscillators serve as paradigmatic models of networks of weakly
interacting oscillatory units in physics and biology. The order parameter which
quantifies synchronization was so far found to be chaotic only in systems with
inhomogeneities. Here we show that even symmetric systems of identical
oscillators may not only exhibit chaotic dynamics, but also chaotically
fluctuating order parameters. Our findings imply that neither inhomogeneities
nor amplitude variations are necessary to obtain chaos, i.e., nonlinear
interactions of phases give rise to the necessary instabilities.

13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin