The Geometry of Wonderland

Information

• Publication Type: Technical Report
• Workgroup(s)/Project(s): not specified
• Date: December 1995
• Number: TR-186-2-95-17
• Keywords: dynamical system, visualization

Abstract

We analyze Wonderland - a model of demographic,economic and environmental interactions - by combining numerical simulations with basic ideas of geometric singular perturbation theory. This theory dealing with slow-fast dynamical systems helps us to gain new insights into the system's behaviour. We give conditions for the occurrence of rapid environmental changes in Wonderland. Since the chosen approach is inherently geometric we also focus on the visualization of our results.

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BibTeX

@techreport{Groeller-1995-GOW,
  title =      "The Geometry of Wonderland",
  author =     "Eduard Gr\"{o}ller and Rainer Wegenkittl and Alexandra Milik
               and Alexia Prskawetz and Gustav Feichtinger and Warren C. 
               Sanderson",
  year =       "1995",
  abstract =   "We analyze Wonderland - a model of demographic,economic and
               environmental interactions - by combining numerical
               simulations with basic ideas of geometric singular
               perturbation theory. This theory dealing with slow-fast
               dynamical systems  helps us to gain new insights into the
               system's behaviour. We give conditions for the occurrence of
               rapid environmental changes in Wonderland. Since the chosen
               approach is inherently geometric 		we also focus on the
               visualization of our results.",
  month =      dec,
  number =     "TR-186-2-95-17",
  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 =   "dynamical system,  visualization",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/1995/Groeller-1995-GOW/",
}