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Chaotic behavior in the disorder cellular automata

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  • Ko, Jing-Yuan
  • Hung, Yao-Chen
  • Ho, Ming-Chung
  • Jiang, I-Min

Abstract

Disordered cellular automata (DCA) represent an intermediate class between elementary cellular automata and the Kauffman network. Recently, Rule 126 of DCA has been explicated: the system can be accurately described by a discrete probability function. However, a means of extending to other rules has not been developed. In this investigation, a density map of the dynamical behavior of DCA is formulated based on Rule 22 and other totalistic rules. The numerical results reveal excellent agreement between the model and original automata. Furthermore, the inhomogeneous situation is also discussed.

Suggested Citation

  • Ko, Jing-Yuan & Hung, Yao-Chen & Ho, Ming-Chung & Jiang, I-Min, 2008. "Chaotic behavior in the disorder cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 934-939.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:934-939
    DOI: 10.1016/j.chaos.2006.07.012
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    References listed on IDEAS

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    1. Reiter, Clifford A., 2005. "A local cellular model for snow crystal growth," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1111-1119.
    2. Chidyagwai, Prince & Reiter, Clifford A., 2005. "A local cellular model for growth on quasicrystals," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 803-812.
    3. Svozil, Karl, 2005. "Computational universes," Chaos, Solitons & Fractals, Elsevier, vol. 25(4), pages 845-859.
    4. Adamatzky, Andrew & Wuensche, Andrew & De Lacy Costello, Benjamin, 2006. "Glider-based computing in reaction-diffusion hexagonal cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 287-295.
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    Cited by:

    1. Hung, Yao-Chen & Lin, Chai-Yu, 2014. "Modeling intrinsic noise in random Boolean networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 121-127.

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