Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hopf bifurcation in the Kuramoto-Daido model   A Hopf bifurcation in the Kuramoto-Daido model is investigated based on the
generalized spectral theory and the center manifold reduction for a certain
class of frequency distributions. The dynamical system of the order parameter
on a four-dimensional center manifold is derived. It is shown that the
dynamical system undergoes a Hopf bifurcation as the coupling strength
increases, which proves the existence of a periodic two-cluster state of
oscillators.

27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess