Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Networks, From Topology to Dynamics - Part II (joint session SOE/ DY/ BP)
DY 33.2: Vortrag
Donnerstag, 3. April 2014, 12:30–12:45, GÖR 226
Controllability of Temporal Networks — •Márton Pósfai1,2 and Philipp Hövel2,3 — 1Department of Physics of Complex Systems, Eötvös University, Budapest, Hungary — 2Institut für Theoretische Physik, TU Berlin, Berlin, Germany — 3Bernstein Center for Computational Neuroscience, HU Berlin, Berlin, Germany
The control of complex systems is an ongoing challenge of complexity research. Resent advances making use of structural control made it possible to 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 topology are comparable. We provide analytical and computational tools to study the controllability of such systems based on temporal network characteristics of the system. We apply these results to investigate the controllable subnetwork using a single input. We present analytical results for a simple class of temporal network models, and we preform measurements using data collected from real systems. Depending on 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 in real data making use of various randomization processes, with special focus on the role of the hubs.