Organization and hierarchy in 4D maps - videos of 3D phase-space slices

Supplementary material to the paper:
Global structure of regular tori in a generic 4D symplectic map
S. Lange, M. Richter, F. Onken, A. Bäcker, and R. Ketzmerick
Chaos 24, 024409 (2014), 11 pages [arXiv:1311.7632 [nlin.CD]]
The following videos show 3D phase-space slices for the 4D coupled standard map.

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• Embedded videos, reduced size
• Embedded videos, full size

Fig. 1: Central lines formed by families of 1-tori

• [fig1.ogv, fig1.webm, fig1.mp4]

Fig. 2: Cantor central manifolds composed of 1-tori

• [fig2a.ogv, fig2a.webm, fig2a.mp4]
• [fig2b.ogv, fig2b.webm, fig2b.mp4]

Fig. 4: Hierarchy of regular tori

• [fig4a.ogv, fig4a.webm, fig4a.mp4]
• [fig4b.ogv, fig4b.webm, fig4b.mp4]
• [fig4c.ogv, fig4c.webm, fig4c.mp4]

Fig. 5: Break-up of resonant tori

• [fig5b.ogv, fig5b.webm, fig5b.mp4]
• [fig5c.ogv, fig5c.webm, fig5c.mp4]
• [fig5d.ogv, fig5d.webm, fig5d.mp4]
• [fig5e.ogv, fig5e.webm, fig5e.mp4]

Fig. 6: Periodic orbits for a rank-2 resonance

• [fig6.ogv, fig6.webm, fig6.mp4]

Fig. 7: One-dimensional chain of periodic orbits

• [fig7.ogv, fig7.webm, fig7.mp4]

All visualizations were created using Mayavi.

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Last modified: 20 August 2018, 13:18:09 , © Arnd Bäcker

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