Case study: visualizing various properties of dynamical systems

摘要

Abstract: There is a wide range of visualization techniques for dynamical systems. These methods are used to visualize certain properties as, e.g., stability of fixed points, characteristic changes of velocity, and bifurcations. This paper gives a short introduction to dynamical system and describes several visualization techniques. Some of those are applied to three different dynamical system. The application of different visualization methods to dynamical systems shows how scientific visualization can be used for analyzing the behavior of dynamical systems, and how visualization can make analysis of a dynamical system fast and efficient. !9