Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the synchronization theory of Kuramoto oscillators under the effect
  of inertia   We investigate the synchronized collective behavior of the Kuramoto
oscillators with inertia effect. Both the frequency synchronization for
nonidentical case and the phase synchronization for identical case are in view.
As an application of our general theory, we show the unconditional frequency
synchronization for the three-nonidentical-oscillator case.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci