Complex Systems

Particles in Soliton Cellular Automata Download PDF

Athanassios S. Fokas
Elena P. Papadopoulou
Yiannis G. Saridakis
Department of Mathematics and Computer Science,
Institute for Nonlinear Studies,
Clarkson University, Potsdam, NY 13676, USA


An initial configuration of the filter cellular automaton introduced by Park, Steiglitz, and Thurston can be thought of as consisting of a number of particles. Here we present a complete analysis of the evolution of single particles. In particular, conditions are given for the existence of periodic particles, and the period is computed in terms of the initial data.