44 citations · 183 across the 14 of their papers we have counts for
5 papers · 1 filter
Predicting bifurcations of almost-invariant patterns: a set-oriented approach
Moussa Ndour, Kathrin Padberg-Gehle
The understanding and prediction of sudden changes in flow patterns is of paramount importance in the analysis of geophysical flows as these rare events relate to critical phenomen…
Network Measures of Mixing
Ralf Banisch, Péter Koltai, Kathrin Padberg-Gehle
Transport and mixing processes in fluid flows can be studied directly from Lagrangian trajectory data, such as obtained from particle tracking experiments. Recent work in this cont…
Set-oriented numerical computation of rotation sets
Katja Polotzek, Kathrin Padberg-Gehle, Tobias Jäger
We establish a set-oriented algorithm for the numerical approximation of the rotation set of homeomorphisms of the two-torus homotopic to the identity. A theoretical background is…
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
Gary Froyland, Kathrin Padberg-Gehle
We present a numerical method to identify regions of phase space that are approximately retained in a mobile compact neighbourhood over a finite time duration. Our approach is base…
Nonautonomous control of stable and unstable manifolds in two-dimensional flows
Sanjeeva Balasuriya, Kathrin Padberg-Gehle
We outline a method for controlling the location of stable and unstable manifolds in the following sense. From a known location of the stable and unstable manifolds in a steady two…