Number conserving cellular automata: form decidability to dynamics

Details Number conserving cellular automata: form decidability to dynamics Number conserving cellular automata: form decidability to dynamics

2001-02-27

arxiv.org/abs/nlin/0102035v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

24 pages, 2 figures

Scientific paper

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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