Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reducing the number of time delays in coupled dynamical systems   When several dynamical systems interact, the transmission of the information
between them necessarily implies a time delay. When the time delay is not
negligible, the study of the dynamics of these interactions deserve a special
treatment. We will show here that under certain assumptions, it is possible to
set to zero a significant amount of time-delayed connections without altering
the global dynamics. We will focus on graphs of interactions with identical
time delays and bidirectional connections. With these premises, it is possible
to find a configuration where a number $n_z$ of time delays have been removed
with $n_v-1 \leq n_z \leq n_v^2/4$, where $n_v$ is the number of dynamical
systems on a connected graph.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org