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Dynamics of an Elementary Cellular Automaton

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The dynamic of a cellular automaton (CA) evolution with a random initial condition can be studied by calculating the value of the mean, the total (sum), or the base conversion from binary to decimal for each step.

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The evolution of CA rules class 1 tends to stabilize to just one value.

The evolution of CA rules class 2 tends to stabilize or to be periodic.

The evolution of CA rules class 3 tends to be chaotic (noisy).

The evolution of CA rules class 4 tends to be a mix of chaotic and periodic, with local repetitive distributions.

Transitory states can occur in the CA evolution depending on the initial condition.

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Contributed by: Daniel de Souza Carvalho (March 2011)
Open content licensed under CC BY-NC-SA

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