IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v160y1989i3p275-297.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437189904433
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(89)90443-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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).
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gouyet, J.-F., 1992. "Anti-red bonds distribution law in 3D percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 301-308.
    2. Dekker, H., 1991. "Multisite spin hopping analysis of multilevel dissipative quantum tunneling and coherence at finite temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(2), pages 289-331.
    3. Gouyet, J.F. & Rosso, M. & Clément, E. & Baudet, C. & Hulin, J.P., 1989. "Invasion of a porous medium under gravity: A quantitative analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 497-498.
    4. Benoit, Magali & Jullien, Rémi, 1994. "Phase transition in the 2D ballistic growth model with quenched disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(4), pages 500-516.
    5. Gouyet, J.F. & Sapoval, B. & Boughaleb, Y. & Rosso, M., 1989. "Structure of noise generated on diffusion fronts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 620-624.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:160:y:1989:i:3:p:275-297. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.