Visualizing the Behavior of Higher Dimensional Dynamical Systems                                                        

Rainer Wegenkittl
Helwig Lof felmann 
Eduard Grolle r                                 
Vienna University of Technology, Institute of Computer Graphics                                


Abstract
In recent years scientific visualization has been driven by the need                                                          
to visualize high-dimensional data sets within high-dimensional                                                              
spaces. However most visualization methods are designed to show  
nly some statistical features of the data set. This paper deals with                                                        
the visualization of trajectories of high-dimensional dynamical sytems 
which form a L n data set of a smoothn-dimensional ow.     
Three methods that are based on the idea of parallel coordinates 
are presented and discussed. Visualizations done with these new                                                              
methods are shown and an interactive visualization tool for the exploration 
of high-dimensional dynamical systems is proposed.     






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