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- Title
STATISTICAL PROPERTIES OF THE ADDITIVE AUTOMATON NETWORKS.
- Authors
Gu, G. Q.
- Abstract
A set of theorems about the evolutionary properties of the automaton networks are presented in this article, which includes the theorems that, for an additive automaton network, the tree structures are identical, and that the geometric entropy equals to its topological entropy. The exact analytical formula for the entropy of the additive automaton networks is introduced, and applied to investigate the evolutionary properties of the elementary cellular automata of number 90 and number 150.
- Subjects
AUTOMATION; ENTROPY; TOPOLOGICAL dynamics; DYNAMICS; PARALLEL processing; PATTERN recognition systems; CELLULAR automata; MACHINE theory
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2004, Vol 18, Issue 17-19, p2463
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979204025518