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Reversible elementary cellular automaton with rule number 150 and periodic boundary conditions overđť”˝p

Author

Listed:
  • A. MartĂ­n del Rey

    (Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain)

  • G. RodrĂ­guez Sánchez

    (Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain)

Abstract

The study of the reversibility of elementary cellular automata with rule number 150 over the finite state setđť”˝pand endowed with periodic boundary conditions is done. The dynamic of such discrete dynamical systems is characterized by means of characteristic circulant matrices, and their analysis allows us to state that the reversibility depends on the number of cells of the cellular space and to explicitly compute the corresponding inverse cellular automata.

Suggested Citation

  • A. MartĂ­n del Rey & G. RodrĂ­guez Sánchez, 2015. "Reversible elementary cellular automaton with rule number 150 and periodic boundary conditions overđť”˝p," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(11), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:11:n:s012918311550120x
    DOI: 10.1142/S012918311550120X
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    Cited by:

    1. Hernández Serrano, D. & Martín del Rey, A., 2019. "A closed formula for the inverse of a reversible cellular automaton with (2R+1)-cyclic rule," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 23-34.

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