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Research group
Nonlinear Dynamics
and Time Series Analysis

members o research o publications o seminars & lectures

o visualization of dynamical systems

Research activities

Overview

  • theoretical aspects of complex dynamics,
    nonlinear stochastic processes.
    the relationship between dynamics and statistical physics,
    nonequilibrium statistical physics and fluctuation theorems
    extreme events
  • novel concepts for time series analysis, essentially based on the idea of reconstruction of a state space from observations.
    Time series software package TISEAN
  • data analysis, modeling, and prediction in atmospheric physics
    ensemble forecasts, skill scores, systematic errors
    effects of long range correlations, identification of trends

Current PhD projects

  • Theoretical foundations and properties of Detrended Fluctuation Analysis (DFA) (Marc Höll)
  • Detection and characterization of transport barriers in 2-D hydrodynamic flows, Lagrangian coherent structures (Benedict Lünsmann)
  • Large deviation probabilities for correlated time series and the accuracy of time averages in dynamical systems and climate time series (Mozhdeh Massah)
  • Identification of trends underlying extremes and record breaking in weather data (Philipp Müller)
  • Cascading extremes, general weather patterns, and climate change in selected European regions (Carl Schertel)
  • Information theoretic analysis and predictability of stock market data (Rubina Zadourian)
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