Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transition in the controllability of temporal networks   The control of complex systems is an ongoing challenge of complexity
research. Recent advances using concepts of structural control deduce a wide
range of control related properties from the network representation of complex
systems. Here, we examine the controllability of complex systems for which the
timescale of the dynamics we control and the timescale of changes in the
network are comparable. We provide both analytical and computational tools to
study controllability based on temporal network characteristics. We apply these
results to investigate the controllable subnetwork using a single input,
present analytical results for a generic class of temporal network models, and
preform measurements using data collected from a real system. Depending upon
the density of the interactions compared to the timescale of the dynamics, we
witness a phase transition describing the sudden emergence of a giant
controllable subspace spanning a finite fraction of the network. We also study
the role of temporal patterns and network topology in real data making use of
various randomization procedures, finding that the overall activity and the
degree distribution of the underlying network are the main features influencing
controllability.

27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph