When conducting real experiments with electronics,
the ratio of random noise to the notional (0,1)
ranges of the iterating variables is of the order
to 1. For small trapping regions, one observes
the phenomenon of untrapping, where the noise
releases the system from the fixed point, and it then
sets off on another chaotic transient until the next
trapping event. We shall play a tape of such a
system. One can add noise in the simulation
by summing 12 random numbers in the range (0,1)
and subtracting 6. By the central limit theorem
the resulting variable will be nearly Gaussianly distributed
with unity standard deviation, and it may be
scaled to the trap size. Figure 6 shows
the visual behaviour of such a simulated noisy system.
Figure 6: A trapping iterated system with added noise