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Number conserving cellular automata: form decidability to dynamics

B. Durand·E. Formenti·Z. Roka
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Abstract

We compare several definitions for number-conserving cellular automata that we prove to be equivalent. A necessary and sufficient condition for \cas to be number-conserving is proved. Using this condition, we give a linear-time algorithm to decide number-conservation. The dynamical behavior of number-conserving \cas is studied and a classification that focuses on chaoticity is given.

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B. Durand, E. Formenti, Z. Roka. 2001-02-27. Number conserving cellular automata: form decidability to dynamics. https://arxiv.org/abs/nlin/0102035

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