Two-dimensional cellular automata
Abstract
A largely phenomenological study of two-dimensional cellular automata is reported. Qualitative classes of behavior similar to those in one-dimensional cellular automata are found. Growth from simple seeds in two-dimensiona! cellular automata can produce patterns with complicated boundaries, characterized by a variety of growth dimensions. Evolution from disordered states can give domains with boundaries that execute effectively continuous motions. Some global properties of cellular automata can be described by entropies and Lyapunov exponents. Others are undecidable.
- Publication:
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Journal of Statistical Physics
- Pub Date:
- March 1985
- DOI:
- 10.1007/BF01010423
- Bibcode:
- 1985JSP....38..901P
- Keywords:
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- Discrete models;
- dynamical systems;
- pattern formation;
- computation theory