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.

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Fig. 3: 3D phase space slice of the paraboloid billiard.

[fig3.ogv, fig3.webm, fig3.mp4]

Fig. 6: Long-trapped orbit in the 3D phase space slice.

[fig6.ogv, fig6.webm, fig6.mp4]

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

[fig7.ogv, fig7.webm, fig7.mp4]

Fig. 10a: Time-resolved animation of the sticky orbit in the 2D billiard

[fig10a.ogv, fig10a.webm, fig10a.mp4]

Fig. 11: Long-trapped orbit in the 3D phase space slice

[fig11.ogv, fig11.webm, fig11.mp4]

All visualizations were created using Mayavi.

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