Fundamental Cycle of a Periodic Box-Ball System
arXiv:nlin/0208042 · doi:10.1088/0305-4470/36/1/307
Abstract
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.
28 pages, 6 figures
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Cited by in corpus (33)
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