Visualizing Dynamical Systems near Critical Points

Helwig Löffelmann, Helmut Doleisch, Meister Eduard Gröller
Visualizing Dynamical Systems near Critical Points
TR-186-2-98-09, March 1998 [paper]

Information

Abstract

In this paper we present two visualization techniques. One uses the topological structure of the dynamical system near critical points to build an abstract description of the flow. The other places bunches of streamlets around the critical points to visualize the flow characteristics locally. Combining both methods a powerful visualization technique is present, since both the topological information as well as intuitive visual cues are provided.

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BibTeX

@techreport{Loeffelmann-1998-VDS,
  title =      "Visualizing Dynamical Systems near Critical Points",
  author =     "Helwig L\"{o}ffelmann and Helmut Doleisch and Meister Eduard
               Gr\"{o}ller",
  year =       "1998",
  abstract =   "In this paper we present two visualization techniques. One
               uses the topological structure of the dynamical system near
               critical points to build an abstract description of the
               flow. The other places bunches of streamlets around the
               critical points to visualize the flow characteristics
               locally. Combining both methods a powerful visualization
               technique is present, since both the topological information
               as well as   intuitive visual cues are provided.",
  month =      mar,
  number =     "TR-186-2-98-09",
  address =    "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology ",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  keywords =   "visualization, dynamical systems, critical points, vector
               field topology",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/1998/Loeffelmann-1998-VDS/",
}