Example of cellular automata: sandpile models Topic #5 Cellular automata - history Cellular automata - history Self-reproducing automata: John von Neumann and AlanTuring Kinematon: such a machine that is able to create any kind of machine following a program Cellular automata – basic properties • Self organization: random initial states creation of patterns • Life-like behavior: it is similar to the behavior of complex biological systems • Examples: forest fire models, modeling of disease spreading, modeling of economical systems, traffic models etc. • Example application: http://atom.ubbcluj.ro/jferenc/upload/mjcell/mjcell.html Sandpile models Properties • Self organization • Critical behavior Number of avalanches avalanche size The number of cell-demolitions caused by a single sandpile or The length of the avalanches caused by a single sandpile
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