A Complexity model applied to the activities of man might seem inappropriate, but archaeology is full of examples of taking methods and theories from the hard sciences and applying them to cultural behaviour. Complexity came out of Mathematical Imagination, sired by Physics. Into every natural phenomenon that exhibits irregularity, but in circumstances that suggest there ought to be underlying patterns. The latter part of this statement would appear to be entirely relevant to Archaeology and lithic studies in particular. They're really there, in simple equations, in equations that model aspects of the real world.
Attractors are the stable factors within chaotic dynamics.
They represent the general trend of a system around which the details oscillate. They have been likened to the basin of a river system. The flow of water, and changes in water courses produce transient change within the stability of the watershed region. They can be visualized in order to represent the chaotic dynamics of a system. Perhaps the most famous, and one of the earliest strange attractors to be discovered, is the Lorenz attractor that represents the output from a series of simple non linear equations.