Random sequence generation by cellular automata
Advances in Applied Mathematics
Nonlinear differential equations and dynamical systems
Nonlinear differential equations and dynamical systems
Regular Article: Cellular Automaton Growth on Z2: Theorems, Examples, and Problems
Advances in Applied Mathematics
A new kind of science
Gliders, Collisions and Chaos of Cellular Automata Rule 62
IWCFTA '09 Proceedings of the 2009 International Workshop on Chaos-Fractals Theories and Applications
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We study one-dimensional cellular automata (CA) with values 0 and 1. We assume that such CA are started from semi-infinite configurations (those that have 0's to the left of some site), and we focus on the identification of robust periodic solutions (RPS), which, when observed from the left edge of the light cone, advance into any environment with positive velocity. We then utilize RPS and related concepts to analyze CA dynamics from seeds, i.e., initial configurations with finitely many 1's.