Homoclinic Points of 2D and 4D Maps via the Parametrization Method - videos of 3D phase-space slices

Supplementary material to the paper:
Homoclinic Points of 2-D and 4-D Maps via the Parametrization Method
Nonlinearity 30 (2017) 3799-3820. [arXiv:1605.05521 [nlin.DS]]

The following videos show 3D phase-space slices for the 4D coupled generalized Hénon maps.

For a sufficiently recent Web-Browser and a good internet connection, the following variants of this page are recommended:

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

Fig. 8: Intersection in the uncoupled case, b=0.0, delta=1.0

• [fig8.ogv, fig8.webm, fig8.mp4]

Fig. 10: Intersection in the coupled case, b=0.1, delta=0.997

• [fig10.ogv, fig10.webm, fig10.mp4]

Fig. 11: No homoclinic intersection in the coupled case, b=0.1, delta=0.990

• [fig11.ogv, fig11.webm, fig11.mp4]

All visualizations were created using Mayavi.

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Last modified: 20 August 2018, 13:17:55 , © Arnd Bäcker

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