Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 49: Networks: From Topology to Dynamics (joint session DY/ BP/SOE)
DY 49.1: Talk
Thursday, March 23, 2017, 15:00–15:15, ZEU 147
Response Patterns for Fluctuations in Complex Flow Networks — •Xiaozhu Zhang1, Sarah Hallerberg1,2, Moritz Moritz Matthiae3, Dirk Witthaut3,4, and Marc Timme1,5 — 1Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen — 2Faculty for Engineering and Computer Science, Hamburg University of Applied Science, 20099 Hamburg — 3Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE), Forschungszentrum Jülich, 52428 Jülich — 4Institute for Theoretical Physics, University of Cologne, 50937 Köln — 5Department of Physics, Technical University of Darmstadt, 64289 Darmstadt
Dynamic collective phenomena prevail in networked systems across physics, biology and engineering. How external signals generate distributed responses patterns in such systems fundamentally underlies their function, yet is far from fully understood. Here we analyze the collective response patterns of oscillatory networks to fluctuating input signals. For an arbitrary network topology, we analytically find distinct response patterns to fall into three distinct frequency regimes: homogeneous responses across the network at low frequencies, topology-dependent resonances at intermediate frequencies and are frequency-dependent, localized responses at high frequencies. These results render regime-specific implications for real-world network design and control, in particular for transport and supply networks, e.g. electric power grids.