265 citations · 1k across the 17 of their papers we have counts for
7 papers · 1 filter
Data-driven prediction and prevention of extreme events in a spatially extended excitable system
Stephan Bialonski, Gerrit Ansmann, Holger Kantz
Extreme events occur in many spatially extended dynamical systems, often devastatingly affecting human life which makes their reliable prediction and efficient prevention highly de…
Assortative mixing in functional brain networks during epileptic seizures
Stephan Bialonski, Klaus Lehnertz
We investigate assortativity of functional brain networks before, during, and after one-hundred epileptic seizures with different anatomical onset locations. We construct binary fu…
Inferring complex networks from time series of dynamical systems: Pitfalls, misinterpretations, and possible solutions
S. Bialonski
Understanding the dynamics of spatially extended systems represents a challenge in diverse scientific disciplines, ranging from physics and mathematics to the earth and climate sci…
Unraveling Spurious Properties of Interaction Networks with Tailored Random Networks
Stephan Bialonski, Martin Wendler, Klaus Lehnertz
We investigate interaction networks that we derive from multivariate time series with methods frequently employed in diverse scientific fields such as biology, quantitative finance…
From brain to earth and climate systems: Small-world interaction networks or not?
Stephan Bialonski, Marie-Therese Horstmann, Klaus Lehnertz
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 fie…
Identifying phase synchronization clusters in spatially extended dynamical systems
Stephan Bialonski, Klaus Lehnertz
We investigate two recently proposed multivariate time series analysis techniques that aim at detecting phase synchronization clusters in spatially extended, nonstationary systems…
Detecting synchronization clusters in multivariate time series via coarse-graining of Markov chains
Carsten Allefeld, Stephan Bialonski
Synchronization cluster analysis is an approach to the detection of underlying structures in data sets of multivariate time series, starting from a matrix R of bivariate synchroniz…