Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of multifrequency oscillator communities   We consider a generalization of the Kuramoto model of coupled oscillators to
the situation where communities of oscillators having essentially different
natural frequencies interact. General equations describing possible resonances
between the communities' frequencies are derived. The mostly simple situation
of three resonantly interacting groups is analyzed in details. We find
conditions for the mutual coupling to promote or suppress synchrony in
individual populations, and present examples where interaction between
communities leads to their synchrony, or to a partially asynchronous state, or
to a chaotic dynamics of order parameters.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex