Fundamental Cycle of a Periodic Box-Ball System
classification
🌊 nlin.SI
nlin.CG
keywords
periodicsystemautomatonbox-ballcellularcyclefundamentalboundary
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We investigate a soliton cellular automaton (Box-Ball system) with periodic boundary conditions. Since the cellular automaton is a deterministic dynamical system that takes only a finite number of states, it will exhibit periodic motion. We determine its fundamental cycle for a given initial state.
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