Orbits of one-dimensional cellular automata induced by symmetry transformations

Using a group-theoretic approach, a method for determining the equivalence classes (also called orbits) of the set of rules of one-dimensional cellular automata induced by the symmetry operations of reflection and permutation and their product is presented. Orbits are classified by their isomorphism...

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Bibliographic Details
Main Authors: Martin Schaller, Karl Svozil
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Physics Open
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666032625000481
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