In a single-feedback setup with a Liquid Crystal Light Valve as optical non
linearity, the formation of stationary hexagonal patterns can be observed.
Under increase of pump power, the order of these regular patterns breaks do
wn and a complex dynamics sets in. This transition is investigated for expe
rimentally observed patterns in the self-focusing case with help of differe
nt tools, namely time-average patterns, symmetry autocorrelation functions
and temporal correlation functions. All methods indicate the existence of a
second pump threshold, where order and dynamical properties of the pattern
s change. (C) 1999 Elsevier Science Ltd. All rights reserved.