Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arrays of stochastic oscillators: Nonlocal coupling, clustering, and
  wave formation   We consider an array of units each of which can be in one of three states.
Unidirectional transitions between these states are governed by Markovian rate
processes.The interactions between units occur through a dependence of the
transition rates of a unit on the states of the units with which it interacts.
This coupling is nonlocal, that is, it is neither an all-to-all interaction
(referred as global coupling), nor is it a nearest neighbor interaction
(referred to as local coupling).The coupling is chosen so as to disfavor the
crowding of interacting units in the same state. As a result, there is no
global synchronization. Instead, the resultant spatiotemporal configuration is
one of clusters that move at a constant speed and that can be interpreted as
\emph{traveling waves}. We develop a mean field theory to describe the cluster
formation and analyze this model analytically. The predictions of the model are
compared favorably with the results obtained by direct numerical simulations.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga