Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 37: Networks: From Topology to Dynamics (joint session SOE/DY/BP) (joint session SOE/CPP/BP/DY)
DY 37.9: Talk
Wednesday, March 14, 2018, 11:30–11:45, MA 001
Perturbation spreading on diffusively-coupled networks and power grids — •Xiaozhu Zhang1,2, Dirk Witthaut3, and Marc Timme1,2 — 1Chair for Network Dynamics, Institute for Theoretical Physics and Center for Advancing Electronics Dresden (cfaed), TU Dresden, Dresden, Germany — 2Network Dynamics, Max Planck Institute for Dynamics and Self-organization, 37077 Göttingen — 3Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
Spreading phenomena on networks essentially underlie the collective dynamics of systems across physics, biology and engineering. Yet, how local changes dynamically spread in such networked systems is still far from fully understood. Here we analyze the spreading dynamics for diffusively-coupled networks close to given operating points. We provide analytical solutions of transient nodal responses via linear response theory and approximate the perturbation arrival times via Taylor expansion. In homogeneous networks, we find the spreading speed based on the estimated arrival times decreases and converges to a constant at large distance. Intriguingly, the asymptotic spreading speed is essentially determined by the network topology, i.e. the limiting behavior of the number of shortest paths at large distance. These results shed light on the qualitatively universal asymptotic spreading behavior in networks and its quantitative dependence on the underlying network topology.