Complex Systems

Phase-Space Study of Bistable Cellular Automata Download PDF

Philippe Binder
Carole Twining
David Sherrington
Department of Theoretical Physics,
University of Oxford, Keble Road,
Oxford OX1 3NP, United Kingdom


We find the basins of attraction and local stability properties of the limit states for three two-valleyed elementary cellular automata rules for all lattice sizes. The basins of attraction and the unstable directions of the limit states are determined by the bits near the boundaries.