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Abstract

Visualization provides powerful tools for the investigation of dynamical systems. The application of various visualization techniques to complex and chaotic dynamical systems is discussed. The interactive specification and modification of strange attractors allow an easier understanding of the underlying dynamics. Graphical time series analysis visualizes time series and phase space reconstruction techniques. Visualization of Nonlinear Iterated Function systems is described as well. Finally advanced visualization techniques are employed to illustrate shape and chaotic properties of strange attractors.

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@techreport{Groeller-1994-AVT,
  title =      "Application of Visualization Techniques to
                Complex and Chaotic Dynamical Systems",
  author =     "Meister Eduard Gr{\"o}ller",
  year =       "1994",
  abstract =   "Visualization provides powerful tools for the investigation
               of dynamical systems. The application of various
               visualization techniques to complex and chaotic dynamical
               systems is discussed. The interactive specification and
               modification of strange attractors allow an easier
               understanding of the underlying dynamics. Graphical time
               series analysis visualizes time series and phase space
               reconstruction techniques. Visualization of Nonlinear
               Iterated Function systems is described as well. Finally
               advanced visualization techniques are employed to illustrate
               shape and chaotic properties of strange                
               attractors.",
  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 =      jun,
  number =     "TR-186-2-94-13",
  keywords =   "visualization, dynamical systems, chaos, fractals,
               interactive, strange attractors, graphical time series
               analysis, iterated function systems",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/1994/Groeller-1994-AVT/",
}