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by Helwig Loffelmann, Eduard Groller, Rainer Wegenkittl, Werner Purgathofer
Machine Graphics & Vision
http://www.cg.tuwien.ac.at/research/vis/dynsys/VisDS96/paper.ps.gz
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Abstract:
Abstract. In this paper we suggest a classification of visualization techniques for analytically specified dynamical systems into four different approaches. We distinguish between local properties, the topology of behavior, global properties, and classes of dynamical systems with respect to various topics of visualization. By presenting advanced visualization techniques that we applied during three recent projects, we discuss their embedding within the classification scheme. The dynamical systems visualized are the "Dynastic Cycle", which is a model for rise and fall of dynasties in ancient China, the "Wonderland " model, that simulates the interactions of population growth, economic activities, and environmental pollution, and a model for mixed-mode oscillations, which occurs in chemistry. Key words:visualization, dynamical systems
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