63 citations · 168 across the 6 of their papers we have counts for
5 papers · 1 filter
3D billiards: visualization of regular structures and trapping of chaotic trajectories
Markus Firmbach, Steffen Lange, Roland Ketzmerick +1
The dynamics in three-dimensional billiards leads, using a Poincaré section, to a four-dimensional map which is challenging to visualize. By means of the recently introduced 3D pha…
What is the mechanism of power-law distributed Poincaré recurrences in higher-dimensional systems?
Steffen Lange, Arnd Bäcker, Roland Ketzmerick
The statistics of Poincaré recurrence times in Hamiltonian systems typically shows a power-law decay with chaotic trajectories sticking to some phase-space regions for long times.…
Bifurcations of families of 1D-tori in 4D symplectic maps
Franziska Onken, Steffen Lange, Roland Ketzmerick +1
The regular structures of a generic 4D symplectic map with a mixed phase space are organized by one-parameter families of elliptic 1D-tori. Such families show prominent bends, gaps…
Global structure of regular tori in a generic 4D symplectic map
Steffen Lange, Martin Richter, Franziska Onken +2
For the case of generic 4D symplectic maps with a mixed phase space we investigate the global organization of regular tori. For this we compute elliptic 1-tori of two coupled stand…
Visualization and comparison of classical structures and quantum states of 4D maps
Martin Richter, Steffen Lange, Arnd Bäcker +1
For generic 4D symplectic maps we propose the use of 3D phase-space slices which allow for the global visualization of the geometrical organization and coexistence of regular and c…