next up contents
Next: Introduction Up: Helwig's PhD thesis See also: an overview of all figures in this chapter

Poincaré maps and visualization

A man travels the world over in search of what he needs and returns home to find it.
George Moore (1852-1933)



This chapter presents a method which is based on Poincaré maps and Poincaré sections [49]. Visualization is enabled to more directly show the crucial aspects of system dynamics by using a mathematical tool to distill essential information from dynamical systems that are dominated by a cyclic or quasi-cyclic behavior, i.e., the derivation of a discrete Poincaré map. Cycle characteristics, for example, are especially well-suited for being visualized using this approach.


Helwig Löffelmann, November 1998,