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Visualizing Dynamical Systems near Critical Points

by H. Löffelmann, H. Doleisch, and E. Gröller.

Project Duration: 1996 - 1998.

This page assembles some results (figures) of work that is part of our research topic ``Visualization of Complex Dynamical Systems''. The figures are provided in JPEG format.



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Download the paper (.ps.gz)



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Figures in the paper (JPEG)

[Fig. 1a][Fig. 1b][Fig. 1c]Figure 1a, Figure 1b, Figure 1c:
Visualizing the geometry of behavior near the critical point of a linear dynamical system - three different saddle configurations.
[Fig. 2a]Figure 2a:
Visualizing the flow characteristics near the critical points of the Lorenz system - eigen manifold visualization.
[Fig. 2b]Figure 2a:
Visualizing the flow characteristics near the critical points of the Lorenz system - bunches of streamlets.
[Fig. 3a][Fig. 3b][Fig. 3c]Figure 3a, Figure 3b, Figure 3c:
Visualizing a linear system near the critical point with a pair of conjugated complex eigen values: a repellor (a) and a saddle (b,c).
[Fig. 4a][Fig. 4b][Fig. 4c]Figure 4a, Figure 4b, Figure 4c:
Three different saddle configurations visualized using both the eigen manifold visualization and bunches of streamlets.
[Fig. 5]Figure 5:
Visualizing the flow near the critical points of the Lorenz system - both bunches of streamlets and eigen manifold visualization were used.



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Helwig Löffelmann, last update on March 10, 1998.