2 papers
nlin.SI2024
Solitons in 3-State Mealy Automata
Atsushi Maeno, Satoshi Tsujimoto, Fumitaka Yura
Box--ball systems (BBS) are integrable systems with soliton solutions and other good properties. We will search for automata that belong to the same class as BBS automata by introd…
nlin.SI2022
Linearization of the box-ball system with box capacity L
Atsushi Maeno, Satoshi Tsujimoto
We construct a bijection between the state of the box-ball system with box capacity L and a pair of two sequences. In time evolution, one of the sequences moves at speed 1, and the…