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Medinat Al Zahraa'

( Size: 103cm x 103cm Oils, acrylic and collage on canvas )

Medinat Al Zahraa'

Leila Kubba Kawash 1994.

Complexity comment:

Medinas are attractive places, traditional centers of bustle, variety and life, combinations of many different trades and interests. Attractors also form one of the most valuable concepts in complexity theory. These attract in a similiar way, they are the points to which a system moves over time. They take three basic forms, firstly the fixed or point attractor, a single position that once reached never changes, a dead end, which we can symbolise by a golf ball in a hole. Secondly the cyclic attractor, a system that repeats a number of values endlessly, for example the orbit of the Earth around the Sun. Both of these can be studied using deterministic science (e.g. Newtonian mechanics). The third type is very odd, and called a strange or ergodic attractor. This never repeats any value exactly but always stays within the same area, it is chaos in a box, and usually studied using statistical methods (e.g. the gas laws).

These attractors correspond to different states of reality. Generally science studies only the simplest types, the point (equilibrium system) and cyclic (predictable system), but we now find that the chaotic type is more common mathematically, thus much of reality remains unexplored. Furthermore, we see in self-organizing systems that these move from either the simple states or the chaotic ones to a middle state and in this region the system is composed of a complex mix of different attractors, a set of alternative states that can swap amongst themselves at high speed, showing a different face to the viewer each time. These are the systems that we like to study in complexity theory. These systems correspond to the normal operational states of our minds and societies, complex mixes of alternative drives, alternative thoughts, alternative actions. It is strange to find that these systems prove not in general to be predictable, the patterns we find there are short lived or transient. Thus it is fair to say that human behaviour itself is essentially unpredictable in detail, we can only estimate the probabilities of certain behaviours, which rather nicely is what is true also at the quantum level. The macroscopic world proves to be just as uncertain and magical as the microscopic parts that make it up...

Page Version 1.0 June 1999
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