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Limit Cycle for Composited Cellar Automata

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7495)

Abstract

We know that a few uniform cellular automata have maximum cycle lengths. However, there are many uniform cellular automata, and checking the cycles of all uniform cellular automata is impractical. In this paper, we define a cellular automaton by composition and show how its cycles are related.

Keywords

  • Transition Function
  • Cellular Automaton
  • Cycle Length
  • Commutativity Condition
  • Cellular Automaton Rule

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2012 Springer-Verlag Berlin Heidelberg

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Ishida, T., Inokuchi, S. (2012). Limit Cycle for Composited Cellar Automata. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-33350-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33349-1

  • Online ISBN: 978-3-642-33350-7

  • eBook Packages: Computer ScienceComputer Science (R0)