The Geometry of Wonderland

Meister Eduard Gröller, Rainer Wegenkittl, Alexandra Milik, Alexia Prskawetz, Gustav Feichtinger, Warren C. Sanderson
The Geometry of Wonderland
TR-186-2-95-17, December 1995 [paper]

Information

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 =     "Meister 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/",
}