Three-dimensional billiards: visualization of regular structures and trapping of chaotic trajectories - videos of 3D phase-space slices

Supplementary material to the paper:
Three-dimensional billiards: visualization of regular structures and trapping of chaotic trajectories
M. Firmbach, S. Lange, R. Ketzmerick, and A. Bäcker
Phys. Rev. E 98, 022214 (2018), 18 pages [arXiv:1805.06823 [nlin.CD]]

The following videos show 3D phase-space slices for the 4D billiard map of the 3D paraboloid billiard.

Fig. 3: 3D phase space slice of the paraboloid billiard. [→ reduced quality]




Fig. 6: Long-trapped orbit in the 3D phase space slice. [→ reduced quality]




Fig. 7: Time-resolved animation of the sticky orbit in a magnification of the 3D phase space slice. [→ reduced quality]




Fig. 10a: Time-resolved animation of the sticky orbit in the 2D billiard [→ reduced quality]




Fig. 11: Long-trapped orbit in the 3D phase space slice [→ reduced quality]




All visualizations were created using Mayavi.

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Last modified: 20 August 2018, 18:09:02 , © Arnd Bäcker