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Abstract

An interactive program for visualizing the long term behavior of dynamical systems, e.g., attractors and bifurcation diagrams, is presented. The program allows an easy specification of a set of formulas and constants which describe a dynamical system. This set of equations is then used for displaying the geometrical structure of the long term development of the dynamical system. The user defines the assignment of variables of the dynamical system to at most three spatial axes and one color axis. Viewing parameters, e.g., point of view, zoom, rotation angle, can again be changed interactively. The program is intended to provide researchers working on dynamical systems with a fast visual analysis and experimentation tool.

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BibTeX

@techreport{Groeller-1994-AIV,
  title =      "Attract - Interactive Visualization of                
               Dynamical Systems",
  author =     "Meister Eduard Gr\"{o}ller and Herbert Oppolzer",
  year =       "1994",
  abstract =   "An interactive program for visualizing the long term
               behavior of dynamical systems, e.g., attractors and
               bifurcation diagrams, is presented. The program allows an
               easy specification of a set of formulas and constants which
               describe a dynamical system. This set of equations is then
               used for displaying the geometrical structure of the long
               term development of the dynamical system. The user defines
               the assignment of variables of the dynamical system to at
               most three spatial axes and one color axis. Viewing
               parameters, e.g., point of view, zoom, rotation angle, can
               again be changed interactively. The program is intended to
               provide researchers working on dynamical systems with       
                        a fast visual analysis and experimentation tool.",
  month =      nov,
  number =     "TR-186-2-94-14",
  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, interactive, dynamical system, chaos, strange
               attractor, bifurcation diagram",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/1994/Groeller-1994-AIV/",
}