Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coarse Graining the Dynamics of Heterogeneous Oscillators in Networks
  with Spectral Gaps   We present a computer-assisted approach to coarse-graining the evolutionary
dynamics of a system of nonidentical oscillators coupled through a (fixed)
network structure. The existence of a spectral gap for the coupling network
graph Laplacian suggests that the graph dynamics may quickly become
low-dimensional. Our first choice of coarse variables consists of the
components of the oscillator states -their (complex) phase angles- along the
leading eigenvectors of this Laplacian. We then use the equation-free framework
[1], circumventing the derivation of explicit coarse-grained equations, to
perform computational tasks such as coarse projective integration, coarse fixed
point and coarse limit cycle computations. In a second step, we explore an
approach to incorporating oscillator heterogeneity in the coarse-graining
process. The approach is based on the observation of fastdeveloping
correlations between oscillator state and oscillator intrinsic properties, and
establishes a connection with tools developed in the context of uncertainty
quantification.

2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph