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A geometrical interpretation of the chaotic state of inhomogeneous deterministic cellular automata

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  • Hansen, Alex
  • Roux, Stéphane

Abstract

We propose a geometrical interpretation of the chaotic state of inhomogeneous cellular automata. From the rules of the cellular automaton we construct a network. The percolating phase of this network coincides with the chaotic phase of the cellular automaton. We also report numerical tests of these ideas on several cellular automata.

Suggested Citation

  • Hansen, Alex & Roux, Stéphane, 1989. "A geometrical interpretation of the chaotic state of inhomogeneous deterministic cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 275-297.
    • Handle: RePEc:eee:phsmap:v:160:y:1989:i:3:p:275-297
    DOI: 10.1016/0378-4371(89)90443-3
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    References listed on IDEAS

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    1. Bunde, Armin & Gouyet, Jean-François, 1985. "Brownian motion in the bistable potential at intermediate and high friction: Relaxation from the instability point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 357-374.
    2. LUCENA, Abilio, 1988. "Time-dependent travelling salesman problem - The deliveryman case," LIDAM Discussion Papers CORE 1988032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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