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Dynamical system
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==== Cellular automaton ==== A ''cellular automaton'' is a tuple (''T'', ''M'', Ξ¦), with ''T'' a [[lattice (group)|lattice]] such as the [[integer]]s or a higher-dimensional [[integer lattice|integer grid]], ''M'' is a set of functions from an integer lattice (again, with one or more dimensions) to a finite set, and Ξ¦ a (locally defined) evolution function. As such [[cellular automata]] are dynamical systems. The lattice in ''M'' represents the "space" lattice, while the one in ''T'' represents the "time" lattice.
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