Authors: Andrzej Gecow
Important for modeling of products of life, of technology and culture using complex networks, the famous Kauffman’s hypothesis „life on the edge of chaos and order” is here deeply reinterpreted in effect of the model extension by functions and states correlation. The presented discovery of “half-chaos” – a state more adequate for describing life, significantly alter the existing basis of many considerations. It releases them with sharp restrictions. Half-chaotic systems have the same parameters as chaotic random systems but they exhibit the characteristics of order and chaos simultaneously, previously considered to be mutually exclusive. As superheating, in effect of a large change (after a small disturbance) they become chaotic. Small change, defined by lack of immediate changes, does not lead out of half-chaos. The basis of half-chaos is a short attractor. Discovered “ro-modularity” - a form of the half-chaos, gives the image “small lakes of activity in the ice”, similar as for systems in Kauffman’s “liquid area” on the edge of chaos. There is much more half-chaotic systems than in “liquid area”.
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