Fundamental Cycle of a Periodic Box-Ball System

Details Fundamental Cycle of a Periodic Box-Ball System Fundamental Cycle of a Periodic Box-Ball System

2002-08-28

arxiv.org/abs/nlin/0208042v1

J. Phys. A: Math. Gen. 36, 99 (2003).

Nonlinear Sciences

Exactly Solvable and Integrable Systems

28 pages, 6 figures

Scientific paper

10.1088/0305-4470/36/1/307

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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