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Abstract

In this paper we suggest a classification of visualization techniques for analytically specified dynamical systems into four different approaches. We distinguish between local properties, the topology of behavior, global properties, and classes of dynamical systems with respect to various topics of visualization. By presenting advanced visualization techniques that we applied during three recent projects, we discuss their embedding within the classification scheme The dynamical systems visualized are the ``Dynastic Cycle'', which is a model for rise and fall of dynasties in ancient China, the ``Wonderland'' model, that simulates the interactions of population growth, economic activities, and environmental pollution, and a model for mixed-mode oscillations, which occurs in chemistry.

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@techreport{loeffelmann-1996-CVA,
  title =      "Classifying the Visualization of Analytically Specified
                Dynamical Systems",
  author =     "Helwig L{\"o}ffelmann and Meister Eduard Gr{\"o}ller and
               Rainer Wegenkittl and Werner Purgathofer",
  year =       "1996",
  abstract =   "In this paper we suggest a classification of visualization
               techniques for analytically specified dynamical systems into
               four different approaches.  We distinguish between local
               properties, the topology of behavior, global properties, and
               classes of dynamical systems with respect to various topics
               of visualization.  By presenting advanced visualization
               techniques that we applied during three recent projects, we
               discuss their embedding within the classification scheme The
               dynamical systems visualized are the ``Dynastic Cycle'',
               which is a model for rise and fall of dynasties in ancient
               China, the ``Wonderland'' model, that simulates the
               interactions of population growth, economic activities, and
               environmental pollution, and a model for mixed-mode         
                      oscillations, which occurs in chemistry. ",
  address =    "Favoritenstrasse 9-11/186, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  month =      apr,
  number =     "TR-186-2-96-15",
  keywords =   "visualization, dynamical systems",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/1996/loeffelmann-1996-CVA/",
}