Hans H. Diebner's Research

Nonlinear Systems and Chaos

After serious doubts in the beginning of chaos research with respect to its "scientificality" until the 1990s this research area now, undoubtlessly, substantially contributes to a deeper understanding of the mechanisms of complex phenomena, in particular of living systems. Chaos research left its tarnished reputation to only produce mathematical beauty behind it. Of course, one can still say that chaos research and related areas are at the edge of mysticism (cf. Christoph Holzhey). So be it! If this is a disadvantage at all, in my opinion it does not matter as long as substantial insight into complex systems is generated. Particle physics with their numerous allusions to Buddhistic conceptions appears to me much closer to mysticism but nobody doubts the important contribution to knowledge.

Rössler-AttraktorAn icon of chaos research is the Rössler attractor here depicted as rapid-prototyping form produced by Florian Grond. This chaotic attractor is named after my doctoral supervisor Otto E. Rössler who lives and works in Tübingen. An excellent introduction into chaos can be found at scholarpedia.org.

If your browser supports webGL, find here a webGL simulation of the Rössler attractor.

The so-called Lyapunov exponents are essential characteristics to describe the stability of dissipative systems ...

One of the most important applications of chaos research is chaos control and synchronisation ...
Rapid-prototyping sculptur of the Rössler attractor by Florian Grond