Information
- Publication Type: Technical Report
- Workgroup(s)/Project(s): not specified
- Date: April 1996
- Number: TR-186-2-96-11
- Keywords: vector field visualization, complex dynamical systems
Abstract
The analysis of complex dynamical systems produces large
amounts of data that have to be interpreted efficiently.
Visualizing the phase space of such systems illustrates
geometrically the behavior of the underlying dynamics. This
work investigates the visualization of Wonderland, a four
dimensional econometric model, which describes interactions
between population growth, economic activity and
environmental implications. Wonderland belongs to a class
of interesting dynamical systems with a pronounced
slow-fast dynamics, i.e., some variables are changing much
faster than others. Furthermore the behavior of the
Wonderland model is characterized by manifolds which are
not streamsurfaces, i.e., the flow does not stay within
these surfaces. This paper discusses the application and
adaptation of various visualization techniques to
analytical dynamical systems with special properties as
mentioned above.
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BibTeX
@techreport{wegenkittl-1996-GTW,
title = "A Guided Tour to Wonderland: Visualizing the Slow-Fast
Dynamics of an Analytical Dynamical System",
author = "Rainer Wegenkittl and Eduard Gr\"{o}ller and Werner
Purgathofer",
year = "1996",
abstract = "The analysis of complex dynamical systems produces large
amounts of data that have to be interpreted efficiently.
Visualizing the phase space of such systems illustrates
geometrically the behavior of the underlying dynamics. This
work investigates the visualization of Wonderland, a four
dimensional econometric model, which describes interactions
between population growth, economic activity and
environmental implications. Wonderland belongs to a class of
interesting dynamical systems with a pronounced slow-fast
dynamics, i.e., some variables are changing much faster than
others. Furthermore the behavior of the Wonderland model is
characterized by manifolds which are not streamsurfaces,
i.e., the flow does not stay within these surfaces. This
paper discusses the application and adaptation of various
visualization techniques to analytical dynamical systems
with special properties as mentioned above.",
month = apr,
number = "TR-186-2-96-11",
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 = "vector field visualization, complex dynamical systems",
URL = "https://www.cg.tuwien.ac.at/research/publications/1996/wegenkittl-1996-GTW/",
}
paper