Original Articles

STABLE, MULTI-STATE, TIME-REVERSIBLE CELLULAR AUTOMATA WITH RICH PARTICLE CONTENT

Published in: Quaestiones Mathematicae
Volume 15 , issue 3 , 1992 , pages: 325–343

DOI: 10.1080/16073606.1992.9631695

Author(s): M.J. Ablowitz Program in Applied Mathematics, , J.M. Keiser Program in Applied Mathematics, , L.A. Takhtajan Program in Applied Mathematics,

Keywords: 58F08

Download full text Get new issue alerts

Abstract

We discuss a new class of stable multi-state Cellular Automata (CA). The CA significantly extends the two-state, time-irreversible CA proposed by Park, Steiglitz, and Thurston by providing for arbitrary numbers of states as well as time-reversibility. These new CA are dynamical systems possessing an enormous array of coherent particle-like structures. The particle interaction picture is surprisingly rich and includes particle production as well.

« ORDER STARS AND THE MAXIMAL ACCURACY OF STABLE DIFFERENCE SCHEMES FOR THE WAVE EQUATION

NUMERICAL HOMOCLINIC INSTABILITIES IN The SINE-GORDON EQUATION »