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Subsystems and Glider Dynamics of Hyper Bernoulli CA Rule 26

ECA rule 26, a member of Wolfram’s class IV and Chua’s hyper Bernoulli shift rules, defines infinitely many subsystems and possesses rich and complex dynamics including an infinite number of gliders and a catalog of glider collisions. Precisely, it holds positive topological entropies and topologically transitivity on the infinitely many subsystems, and is topologically mixing on another three subsystems, hence, the rule is chaotic in the sense of Li-Yorke and/or Devaney in the symbolic sequence space.