
Attractors II / Chaos light observatory, 2019
Focused laser light, DACs, algorithmsOutdoor projection  dimensions variable
The chaos theory in mathematics describes properties of dynamical systems that exhibit high sensitivity to initial conditions. In such systems a small difference in a state of deterministic nonlinear system yields large differences at a later state of the system. The chaos theory describes complex systems where structure and causality is can seem unclear. But the concept of Chaos shouldn’t be interpreted as disorder. Within a chaotic system perceived uncertainties and regularities arise from difficulty of longterm predictability.
Chaotic behaviour can be observed within various systems of the natural world such has weather conditions and climate. Interestingly, these systems at once are characterised by determinism and unpredictability: the future state of a system is determined by previous states of all of it’s variables, alas in practical computational models of weather conditions it is impossible to recognise and all the impacting variables and measure their values with the required precision.
A nonlinear dynamic system is described by a set of interrelated differential equations that define the changes of system variables in time. A chaotic or strange attractor is defined by a set of values towards which the system tends to evolve from a wide variety of initial conditions. Such dynamic system with a chaotic attractor displays local instability and global stability: once a value has reached a cyclic sequence, the following values differ from one another but do not venture outside the attractor. Computationally discovered attractors can be displayed and observed: they have spatial organisation and shape that can be made visible by plotting values on a surface.