23 citations · 116 across the 20 of their papers we have counts for
14 papers · 1 filter
Non-periodic not everywhere dense trajectories in triangular billiards
Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just
Building on tools that have been successfully used in the study of rational billiards, such as induced maps and interval exchange transformations, we provide a construction of a on…
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps
O. F. Bandtlow, W. Just, J. Slipantschuk
Chaotic hyperbolic dynamical systems enjoy a surprising degree of rigidity, a fact which is well known in the mathematics community but perhaps less so in theoretical physics circl…
EDMD for expanding circle maps and their complex perturbations
Oscar F. Bandtlow, Wolfram Just, Julia Slipantschuk
We show that spectral data of the Koopman operator arising from an analytic expanding circle map can be effectively calculated using an EDMD-type algorithm combining a collocat…
Resonances for rational Anosov maps on the torus
Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just
A complete description of resonances for rational toral Anosov diffeomorphisms preserving certain Reinhardt domains is presented. As a consequence it is shown that every homotopy c…
Lagrange approximation of transfer operators associated with holomorphic data
Oscar F. Bandtlow, Julia Slipantschuk
We show that spectral data of transfer operators given by holomorphic data can be approximated using an effective numerical scheme based on Lagrange interpolation. In particular, w…
Dynamic mode decomposition for analytic maps
Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just
Extended dynamic mode decomposition (EDMD) provides a class of algorithms to identify patterns and effective degrees of freedom in complex dynamical systems. We show that the modes…