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Edge of chaos in rule-changing cellular automata

โœ Scribed by Takashi Mori; Kiyoshi Kudo; Yoichi Namagawa; Ryoku Nakamura; Osamu Yamakawa; Hidetoshi Suzuki; Tadayuki Uesugi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
603 KB
Volume
116
Category
Article
ISSN
0167-2789

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โœฆ Synopsis

We present a model of rule-changing cellular automata (CA) to study dynamical structure of CA in detail. In our model calculation the edge of chaos is observed on the basis of the source role 22 which yields the most interesting behavior. We find that the edge of chaos is generated through competition between two role-changing behaviors. These rule-changing behaviors are analyzed quantitatively by using the mutual information as a measure of complexity. It is noted that the mutual information has the maximum value near the edge of chaos because of competition.

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โœ Danuta Makowiec ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 403 KB

The critical behaviour of cellular automata can be studied like in chaotic systems as the sensitivity to initial conditions. We find the fractal dimension for the basin boundary set of the attracting configurations. Moreover, obtained data allow us to qualify configurations from the attracting set.