Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hybrid dynamics in delay-coupled swarms with "mothership" networks   Swarming behavior continues to be a subject of immense interest because of
its centrality in many naturally occurring systems in physics and biology, as
well as its importance in applications such as robotics. Here we examine the
effects on swarm pattern formation from delayed communication and topological
heterogeneity, and in particular, the inclusion of a relatively small number of
highly connected nodes, or "motherships", in a swarm's communication network.
We find generalized forms of basic patterns for networks with general degree
distributions, and a variety of new behaviors including new parameter regions
with multi-stability and hybrid motions in bimodal networks. The latter is an
interesting example of how heterogeneous networks can have dynamics that is a
mix of different states in homogeneous networks, where high and low-degree
nodes have simultaneously distinct behavior.

2
The categories of this paper are: math
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom