> Endo Chaos, 2009
> Mouse-controlled audio-visual simulation of the chaotic Rössler attractor:
The chaotic attractor symbolically hovers above Antarctica, which is often associated with climatic problems, meant as an allusion to the so called climatic attractor. Our lack of knowledge with respect to the climatic attractor can be generalized. Many dynamical aspects of chaotic attractors are still not sufficiently understood. Endo Chaos allows the user, via mouse click, to switch from an exo (from outside) to an endo (from inside) view and to control simulation speed and chaoticity. Like ridding a roller coaster, the endo view leads to a more immersive feeling and permits an exploration of the dynamic system from within, which hopefully eventually leads to new insights concerning the topological structure of the system as well as its dynamical features. Endo Chaos is a narrative conversion of a performative epistemic setting.
> Liquid Perceptron, 2000
> Reactive Simulation of a pattern forming oscillator array:
> Hans H. Diebner, and Sven Sahle
Liquid Perceptron simulates a large array of coupled oscillators to model chemical reactions in living cells like neurons. It, therefore, can be seen as a simplified model of a neuronal network. Like a real brain, the model brain can be excited through external stimuli. These stimuli are supplied by the live video of the moving spectators in front of the simulation, i.e. the camera mimics the eye. The spectator’s movement leads to an activity in the model brain and eventually to synchronized dynamical spiral patterns. The setup is used as a performative environment to study the pattern forming processes but allows at the same time the user to contemplate in an almost meditative way the fascinating spiral motifs.
> _zur form, 2007
> 3D-rapid-prototyping sculptures of chaotic attractors, photographs of the negative forms:
> Florian Grond, Thomas Kienzl and Gabriele Engelhardt
This work investigates the relationship of mathematical formulas and their 3D-representation as geometric forms. Using the rapid-prototyping technique, the 19th century tradition of blaster models is transferred to current topics of chaos research. The virtual world of simulations of chaotic attractors is complemented with tangible objects. The 3D forms of the attractors are supplemented by a series of photographs that depict the negative forms of the sculptures. Thus, the earlier tradition is enhanced by the meaning of a spill-over that shows the traces of the performative process of production.
> ηὕρηκα (heureka), 2009
> CNC-milled relief plate, representing the model of a complex dynamical system, Text board (proceedings of the New Academy of Artistic Sciences):
> Florian Grond, Christoph Vaillant, and Ruth Weber
The CNC-milled relief plate represents the solution of a partial differential equation used to mathematically model neuronal networks. It shows the synchronizing temporal behaviour of a linear chain of coupled neurons. The relief plate is supplemented by the “Proceedings of the New Academy of Artistic Sciences”, which is an homage to Kandinsky’s famous Russian Academy of Artistic Sciences. The “Proceedings” contain a foreword that introduces the mathematical background of ηὕρηκα, and 3 short essays on performative science and artistic research.