Class of stable multistate time-reversible cellular automata with rich particle content
Mark J. Ablowitz, James M. Keiser, Leon A. Takhtajan · Physical Review A · 1991
An alternative class of stable multistate cellular automata (CA) is derived. They serve to significantly extend the two-state, time-irreversible CA proposed by Park, Steiglitz, and Thurston [Physica D 19, 423 (1986)]. These CA are time-reversible dynamical systems possessing an enormous array of coherent particlelike structures. The particle-interaction picture is surprisingly rich and includes particle production as well.