Horenkamp, Christian: Efficient detection of coherent structures in non-autonomous dynamical systems via transfer operator methods. 2014
Content
Introduction
Dynamical System Theory - Basic Concepts
Transport in Dynamical Systems
Analysis of Transport over Long Time Intervals
Efficient Numerical Approximation of Coherent Structures
Connecting Almost Invariant Sets and Coherent Pairs
Algorithm for the Efficient Approximation of Coherent Pairs
Detection of Coherent Structures in the Ocean
Transfer Operator Methods for the Oceanic Fluid Flow
Seasonal Variability of the Subpolar Gyres in the Southern Ocean
Three-dimensional Characterization and Tracking of an Agulhas Ring
Conclusion
List of Figures
Bibliography