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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
  • modeling and prediction in atmospheric physics
    ensemble forecasts
    data assimilation
    statistical analysis of meteorological time series

Some more details

  • dynamical systems with various time scales, modeling fast chaotic degrees of freedom by stochastic processes
  • Hamiltonian systems with symplectic noise (Alexandra Kruscha)
  • stochastic models for nonequilibrium thermodynamics and analysis of fluctuations (L\'eo Granger).
  • Analysis of ensemble forecast data from ECMWF: outliers, linearity, interpretation of the ensemble, stratification (Stefan Siegert)
  • Data assimilation by variational priciples (Jochen Bröcker)
  • Sensitivity versus robustness in the geostrophic vorticity equation (Julia Gundermann)
  • skill sores for probabilistic forecasts
  • metastability in systems with multiplicative noise (Anja Garber, Nicholas Moloney)
  • waiting time distributions and seasonal predictions (A. Garber, N. Moloney)

Ongoing PhD theses

Anja Garber
Hopping processes, metastability, and waiting times

Leo Granger
work theorems and flucutation analysis in stochastic models for nonequilibrium thermodynamics

Julia Gundermann
Sensitivity versus robustness in the geostrophic vorticity equation

Stefan Siegert
Analysis of ensemble forecasts

Third parties funding:

VW-Stiftung

zusammen mit

Ulrike Feudel (Oldenburg)

Jürgen Kurths (PIK Potsdam)

Klaus Lehnertz (Bonn)

Helmut Hillebrand (Oldenburg)

Stefanie Morthi (Oldenburg)

Extreme Events in excitable media: Harmful algal bloom and epilepsy

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