Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebra of open continuous time dynamical systems and networks   Many systems of interest in science and engineering are made up of
interacting subsystems. These subsystems, in turn, could be made up of
collections of smaller interacting subsystems and so on. In a series of papers
David Spivak with collaborators formalized these kinds of structures (systems
of systems) as algebras over presentable colored operads.
  It is also very useful to consider maps between dynamical systems. This
amounts to viewing dynamical systems as objects in an appropriate category.
This is the point taken by DeVille and Lerman in the study of dynamics on
networks.
  The goal of this paper is to describe an algebraic structure that encompasses
both approaches to systems of systems. To this end we replace the monoidal
category of wiring diagrams by a monoidal double category whose objects are
surjective submersions. This allows us, on one hand, build new large open
systems out of collections of smaller open subsystems and on the other keep
track of maps between open systems. As a special case we recover the results of
DeVille and Lerman on fibrations of networks of manifolds.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol