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Global Recurrence Plot of Cellular Automaton Dynamic

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A global recurrence plot defined by the expression , where is a function of the step, shows the recurrence of states in the space of all possible states (phase space). Instances of indicate two steps at which the same state occurs.

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Recurrence plots can be used to analyze cellular automaton (CA) evolution. Calculating the mean, total, or binary-to-decimal of each step in an elementary CA's evolution illustrates its behavior. This Demonstration uses random finite initial conditions.

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

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