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Evolutionary Learning and Stability of Mixed-Rule Cellular Automata

  • Ryo Sawayama
  • Toshimichi Saito
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8835)

Abstract

This paper studies the cellular automaton (CA) governed by combination of two rules. First, we analyze a class of CA that generates several isolated spatiotemporal patterns without transient phenomena. Second, we present an evolutionary algorithm that tries to optimize the combination of two rules to stabilize the desired isolated patterns. Performing basic numerical experiments, it is shown that the evolutionary algorithm can make transient phenomena and can stabilize the desired isolated patterns.

Keywords

cellular automaton genetic algorithm stability 

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References

  1. 1.
    Chua, L.O.: A Nonlinear Dynamics Perspective of Wolfram’s New Kind of Science, I, II. World Scientific (2005)Google Scholar
  2. 2.
    Wada, W., Kuroiwa, J., Nara, S.: Completely Reproducible Description of Digital Sound Data with Cellular Automata. Physics Letters A 306, 110–115 (2002)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Seredynski, M., Bouvry, P.: Block Cipher Based on Reversible Cellular Automata. In: Proc. of IEEE/CEC, pp. 2138–2143 (2004)Google Scholar
  4. 4.
    Rosin, P.L.: Training Cellular Automata for Image Processing. IEEE Trans. Image Process. 15(7), 2076–2087 (2006)CrossRefGoogle Scholar
  5. 5.
    Lohn, J.D., Reggia, J.A.: Automatic Discovery of Self-Replicating Structures in Cellular Automata. IEEE Trans. Evolutionary Computation 1(3), 165–178 (1997)CrossRefGoogle Scholar
  6. 6.
    Sawayama, R., Kouzuki, R., Saito, T.: Basic Dynamics of Elementary Cellular Automata with Mixed Rules: Periodic Patterns and Transient Phenomena. In: Proc. NOLTA, pp. 154–157 (2013)Google Scholar
  7. 7.
    Suzuki, S., Saito, T.: Synthesis of desired binary cellular automata through the genetic algorithm. In: King, I., Wang, J., Chan, L.-W., Wang, D. (eds.) ICONIP 2006. LNCS, vol. 4234, pp. 738–745. Springer, Heidelberg (2006)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ryo Sawayama
    • 1
  • Toshimichi Saito
    • 1
  1. 1.Hosei UniversityKoganeiJapan

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