IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v325y2003i1p186-191.html
   My bibliography  Save this article

Synchronization in an array of globally coupled maps with delayed interactions

Author

Listed:
  • Masoller, Cristina
  • Martı́, Arturo C
  • Zanette, Damián H

Abstract

We study synchronization of a one-dimensional array of coupled logistic maps in the regime where the individual maps, without coupling, evolve in a periodic orbit. We investigate the effect of a delay in the coupling that takes into account the finite velocity of propagation of interactions. Two qualitatively different synchronization regimes are found, depending on the value of the coupling strength. For weak coupling the array divides into clusters, and the behavior of the individual elements within each cluster depends on the delay times. For strong enough coupling, the array synchronizes into a single cluster. The evolution of the elements is periodic and their relative phases depend on the delay times.

Suggested Citation

  • Masoller, Cristina & Martı́, Arturo C & Zanette, Damián H, 2003. "Synchronization in an array of globally coupled maps with delayed interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 186-191.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:186-191
    DOI: 10.1016/S0378-4371(03)00197-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437103001973
    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/S0378-4371(03)00197-3?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.

    Citations

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


    Cited by:

    1. Atmanspacher, Harald & Scheingraber, Herbert, 2005. "Stabilization of causally and non-causally coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 435-447.
    2. Li, Ping & Yi, Zhang & Zhang, Lei, 2006. "Global synchronization of a class of delayed complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 903-908.

    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:325:y:2003:i:1:p:186-191. 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: 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.