Chaotic Morphing
As an example of how chaotic morphing works, lets take a generic chaotic system known as the Logistic map. This nonlinear map is very well studied for its chaotic behavior and its functional representation is given by:
In this case, the value of x is chaotic when r >~ 3.57... and rapidly switches between different patterns in the value of x as one iterates the value of n. A simple threshold controller can control or direct the chaotic map or system to produce one of many patterns. The controller basically sets a threshold on the map such that if the iteration ("chaotic update") of the map takes on a value of x that lies above a given threshold value, x*,then the output corresponds to a 1, otherwise it corresponds to a 0. One can then reverse engineer the chaotic map to establish a lookup table of thresholds that robustly produce any of the logic gate operations. Since the system is chaotic, we can then switch between various gates ("patterns") exponentially fast.
Read more about this topic: Chaos Computing
Famous quotes containing the word chaotic:
“The attitude that nature is chaotic and that the artist puts order into it is a very absurd point of view, I think. All that we can hope for is to put some order into ourselves.”
—Willem De Kooning (b. 1904)