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Global Recurrence Plot of Cellular Automaton Dynamic

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A global recurrence plot defined by the expression
R(x,y)=|f(x)-f(y)|
, where
f(n)
is a function of the
th
n
step, shows the recurrence of states in the space of all possible states (phase space). Instances of
R(x,y)=0
indicate two steps at which the same state occurs.
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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