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Abstract

There is a wide range of visualization techniques for dynamical systems. These methods are used to visualize certain properties as, e.g., stability of fixed points, characteristic changes of velocity, and bifurcations. This paper gives a short introduction to dynamical systems and describes several visualization techniques. Some of those are applied to three different dynamical systems. The application of different visualization methods to dynamical systems shows, how scientific visualization can be used for analyzing the behavior of dynamical systems, and how visualization can make analysis of a dynamical system fast and efficient.

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@techreport{Fischel-1997-CSVVP,
  title =      "Case study: Visualizing Various Properties of
		  Dynamical
               Systems",
  author =     "Georg Fischel and Helmut Doleisch and Lukas Mroz and Helwig
               L{\"o}ffelmann and Meister Eduard Gr{\"o}ller",
  year =       "1997",
  abstract =   "There is a wide range of visualization techniques for
               dynamical systems. These methods are used to visualize
               certain properties as, e.g., stability of fixed points,
               characteristic changes of velocity, and bifurcations. This
               paper gives a short introduction to dynamical systems and
               describes several visualization techniques. Some of those
               are applied to three different dynamical systems. The
               application of different visualization methods to dynamical
               systems shows, how scientific visualization can be used for
               analyzing the behavior of dynamical systems, and how
               visualization can      make analysis of a dynamical system
               fast and efficient.",
  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 =      sep,
  number =     "TR-186-2-97-16",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/1997/Fischel-1997-CSVVP/",
}