IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v52y2006i1p107-111.html
   My bibliography  Save this article

Fractal formations in the Lattice Limit Cycle model

Author

Listed:
  • G. A. Tsekouras
  • A. Provata

Abstract

We examine the fractal patterns arising in the Lattice Limit Cycle model, when it is restricted on square and fractal lattices. We show that, for processes taking place on regular 2d substrates, the fractal dimensions depend on the kinetic constants and we have observed a sharp phase-transition from uniform 2d spatial distributions (d f =2) when the kinetic parameters are near the Hopf bifurcation point, to a $d_f \not =2$ inside the limit cycle region. For processes taking place on substrates which contain inactive sites, we observe nucleation of homologous species around inactive regions leading to poisoning, when the active sites are distributed in a fractal manner on the substrate. This is less frequent in cases where the active sites are distributed uniformly and randomly on the lattice leading, normally, to non-trivial steady states. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • G. A. Tsekouras & A. Provata, 2006. "Fractal formations in the Lattice Limit Cycle model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 52(1), pages 107-111, July.
    • Handle: RePEc:spr:eurphb:v:52:y:2006:i:1:p:107-111
    DOI: 10.1140/epjb/e2006-00274-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1140/epjb/e2006-00274-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1140/epjb/e2006-00274-x?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Provata, A. & Panagakou, E., 2014. "Abstract phase space networks describing reactive dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 181-193.

    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:spr:eurphb:v:52:y:2006:i:1:p:107-111. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.