Exponents of Growth - Systematic Design for Emergence in Cellular Nonlinear Networks - page 81

growth). Slower growth speeds correspond to “pink” noise generators that may
have relevance in musical synthesizers or other applications. For instance, some of
the pattern generators used for a novel image compression method described in
Chap. 8 may be extracted from this category.

Fig. 5.9. ID = 263. In this case U=15 , indicating a growth with half of the “speed of light”,
i.e. the front of the cluster array moved only 16 pixels in each direction

Fig. 5.10. ID = 748. In this case U = 47 , indicating a maximum growth with of the “speed
of light”, i.e. the front of the cluster array moved about 32 pixels in each direction

Within the full set of 1,024 semi-totalistic genes of “2s5” family, more than
50% of them lead to unstable behaviors from the above category. Only a very
small fraction of cells (less than 10%) lead to unstable near edge behaviors, which
are, in our opinion, the most interesting from the perspective of modeling living or
natural processes or for computational purposes. The large pool of remaining
genes with

d U , allow for a rich base for selecting and identifying genes that
are relevant for various feature extraction or classification tasks. In the next sec-
tion a more exact distribution of behaviors is given as well as some considerations
regarding the influence of the “Small World” model on this distribution.

0 d 1