Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extracting phase coupling functions between networks of dynamical
  elements that exhibit collective oscillations: Direct extraction from
  time-series data   Many real-world systems are often regarded as weakly coupled limit-cycle
oscillators, in which each oscillator corresponds to a dynamical system with a
large number of degrees of freedom exhibiting collective oscillations. One of
the most practical methods for investigating the synchronization properties of
such a rhythmic system is to statistically extract phase coupling functions
between limit-cycle oscillators directly from observed time-series data.
Particularly, using the method that combines phase reduction theory and
Bayesian inference, the phase coupling functions can be extracted even from the
time-series data of only one variable in each oscillatory dynamical system with
many degrees of freedom. However, it remains unclear how the choice of the
observed variables affects the statistical inference for the phase coupling
functions. In this study, we examine the influence of observed variable types
on the extraction of phase coupling functions using some typical dynamical
elements under various conditions. Thus, we demonstrate that our method can
consistently extract the macroscopic phase coupling functions between two
phases representing collective oscillations regardless of the observed variable
types, e.g., even when using one variable of any element in one system and the
mean-field value over all the elements in another system.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an