A Visual Journey through a 4D Dynamical System

Abstract

The visualization of dynamical systems with a dimension higher then 3 remains a challenge. Due to the at most three dimensional perception and thinking schemes of most people and the two dimensional nature of the display devices only a part of the information contained in a 4D space can be displayed simultaneously. Animation or color may be used as an additional dimension and various advanced methods have been developed for higher dimensional visualizations [WeLö97], but it remains up to the viewer to reconstruct the picture of the four dimensional system.

These pages are an attempt to visualize the behaviour of a four dimensional dynamical system making use of various visualization techniques like animation, color coding and extruded parallel coordinates.

Table of Contents