From brain to earth and climate systems: Small-world interaction networks or not?

被引:77
作者
Bialonski, Stephan [1 ]
Horstmann, Marie-Therese [2 ]
Lehnertz, Klaus [3 ]
机构
[1] Univ Bonn, Dept Epileptol, D-53105 Bonn, Germany
[2] Univ Bonn, Helmholtz Inst Radiat & Nucl Phys, D-53115 Bonn, Germany
[3] Univ Bonn, Interdisciplinary Ctr Complex Syst, D-53117 Bonn, Germany
关键词
complex networks; nonlinear dynamical systems; time series; topology; GRAPH-THEORETICAL ANALYSIS; FALSE DISCOVERY RATE; COMPLEX NETWORKS; SYNCHRONIZATION; BACKBONE; EEG;
D O I
10.1063/1.3360561
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider recent reports on small-world topologies of interaction networks derived from the dynamics of spatially extended systems that are investigated in diverse scientific fields such as neurosciences, geophysics, or meteorology. With numerical simulations that mimic typical experimental situations, we have identified an important constraint when characterizing such networks: indications of a small-world topology can be expected solely due to the spatial sampling of the system along with the commonly used time series analysis based approaches to network characterization.
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页数:7
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