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.

Fig. 8: Intersection in the uncoupled case, b=0.0, delta=1.0 [→ reduced quality]

Fig. 10: Intersection in the coupled case, b=0.1, delta=0.997 [→ reduced quality]

Fig. 11: No homoclinic intersection in the coupled case, b=0.1, delta=0.990 [→ reduced quality]

All visualizations were created using Mayavi.

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

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