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Complexity and Diversity for the Rule Changeable Elementary Cellular Automata

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Complexity and Diversity

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Abstract

The rule changeable elementary cellular automata are proposed analogous to the ecological system. In this model we find the behavioral diversity for a suitable threshold value x on chaotic source rule. The behavioral diversity is characterized by block entropy and joint entropy. Our behavioral diversity plays just as “edge of chaos” for spatial and temporal evolution.

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References

  1. Stephen Wolfram. Statistical Mechanics of Cellular Automata, Reviews of Modern Physics, vol. 55, No. 3, 1983, pp. 601–644.

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  2. Wentian Li, Norman Packard. The Structure of the Elementary Cellular Automata Rule space, Complex Systems, vol. 4, No. 3, 1990, pp. 281–297.

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  3. P. Grassberger. Toward a Quantitative Theory of Self-Generated Complexity, International Journal of Theoretical Physics, vol. 25, No. 9, 1986, pp. 907–938.

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  4. C. G. Langton. Computation at the Edge of Chaos: Phase Transitions and Emergent Computation, Physica D, vol. 42, 1990, pp. 12–37.

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Fukui University, Fukui 910, Japan

    Takashi Mori, Kiyoshi Kudo, Yoichi Tamagawa, Hidetoshi Suzuki & Tadayuki Uesugi

  2. Department of Physics, Fukui Prefectural University, Matsuoka, Fukui 910-11, Japan

    Ryouku Nakamura

  3. Center for Information Science, Fukui Prefectural University, Matsuoka, Fukui 910-11, Japan

    Osamu Yamakawa

Authors
  1. Takashi Mori
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  2. Kiyoshi Kudo
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  3. Yoichi Tamagawa
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  4. Ryouku Nakamura
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  5. Osamu Yamakawa
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  6. Hidetoshi Suzuki
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  7. Tadayuki Uesugi
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Editor information

Editors and Affiliations

  1. Department of Bioscience, Fukui Prefectural University, 4-1-1 Kenjojima, Matsuoka-cho, Yoshida-gun, Fukui, 910-11, Japan

    Eiichi Ryoku Nakamura

  2. Department of Applied Physics, Fukui University, 3-9-1 Bunkyo, Fukui, 910, Japan

    Kiyoshi Kudo  & Yoichi Tamagawa  & 

  3. Center of Information Science, Fukui Prefectural University, 4-1-1 Kenjojima, Matsuoka-cho, Yoshida-gun, Fukui, 910-11, Japan

    Osamu Yamakawa

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© 1997 Springer-Verlag Tokyo

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Cite this paper

Mori, T. et al. (1997). Complexity and Diversity for the Rule Changeable Elementary Cellular Automata. In: Nakamura, E.R., Kudo, K., Yamakawa, O., Tamagawa, Y. (eds) Complexity and Diversity. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66862-6_8

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  • DOI: https://doi.org/10.1007/978-4-431-66862-6_8

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66864-0

  • Online ISBN: 978-4-431-66862-6

  • eBook Packages: Springer Book Archive

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