Berlin 2005 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 22: Networks
DY 22.5: Vortrag
Samstag, 5. März 2005, 12:30–12:45, TU H2032
Network properties of meteorological stations in the river Elbe basin quantified by phase synchronization — •Diego Rybski1, Shlomo Havlin2 und Armin Bunde1 — 1Institut für Theoretische Physik III, Universität Gießen, Germany — 2Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan, Israel
We study the phase synchronization of 317 daily precipitation records from meteorological stations located in the river Elbe basin by calculating for each pair (i,j) of records the synchronization index ρ(i,j) based on the Shanon entropy, see, e.g., [1] and references therein. By shifting the time series relative to each other we determine the time delay that yields the maximum index ρmax(i,j). We find that ρmax(i,j) decays logarithmically with the distance dij between both sites. In order to study the network structure of phase synchronized sites, we determine the best fit ρmax(d) of ρmax(dij) and use the deviations Δij=ρmax(i,j)−ρmax(d) as nontrivial indicators of the bond strength between both sites. We consider those sites (i,j) as connected where the relative synchronization index Δij exceeds a certain threshold value Δ0, and discuss the network properties as a function of Δ0. We show that they are distinctively different from the corresponding randomized system.
[1] D. Rybski, S. Havlin, A. Bunde, Physica A 320 (2003) 601.