Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical calculation of the transition to complete phase
  synchronization in coupled oscillators   Here we present a system of coupled phase oscillators with nearest neighbors
coupling, which we study for different boundary conditions. We concentrate at
the transition to total synchronization. We are able to develop exact solutions
for the value of the coupling parameter when the system becomes completely
synchronized, for the case of periodic boundary conditions as well as for an
open chain with fixed ends. We compare the results with those calculated
numerically.

14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg