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Start Over Author "Yoshihara, Daisuke" Publication Type Reports
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1. Fundamental Cycle of a Periodic Box-Ball System

Author

Yoshihara, Daisuke, Yura, Fumitaka, and Tokihiro, Tetsuji

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Nonlinear Sciences - Cellular Automata and Lattice Gases
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., Comment: 28 pages, 6 figures

Published
2002
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