IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v18y2011i1p39-50.html
   My bibliography  Save this article

Self-organized pattern formation in a swarm system as a transient phenomenon of non-linear dynamics

Author

Listed:
  • Heiko Hamann
  • Thomas Schmickl
  • Karl Crailsheim

Abstract

This article presents a microscopic model (agent positions, directions and interactions are explicitly modelled) of mobile agents (or self-propelled particles) that is inspired by the ‘complex transport networks’ reported by Jones (2010; The emergence and dynamical evolution of complex transport networks from simple low-level behaviours , International Journal of Unconventional Computing 6, pp. 125--144). Here, the agents' positions are modelled continuously. This multi-agent system (or artificial swarm) shows a wide variety of self-organized pattern formations. The self-organization is based on the non-linearity of the agents' turns (discrete jumps in the agents' directions) and the indirect interactions of the agents via a potential field that determines their motion (high values are attractive) and which is changed by themselves (agents increase the value of the potential field at their positions). At least most of the irregular and complex patterns are transient. The patterns found during the transient are more complex than those the system converges to. Still, this transient behaviour is relevant. We empirically investigate the transient times in dependence of several system parameters and give examples.

Suggested Citation

  • Heiko Hamann & Thomas Schmickl & Karl Crailsheim, 2011. "Self-organized pattern formation in a swarm system as a transient phenomenon of non-linear dynamics," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 18(1), pages 39-50, May.
    • Handle: RePEc:taf:nmcmxx:v:18:y:2011:i:1:p:39-50
    DOI: 10.1080/13873954.2011.601418
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/13873954.2011.601418
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13873954.2011.601418?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. Eric Bonabeau & Guy Theraulaz & Vincent Fourcassi'e & Jean-Louis Deneubourg, 1998. "The Phase-Ordering Kinetics of Cemetery Organization in Ants," Working Papers 98-01-008, Santa Fe Institute.
    2. Troy Shinbrot, 2005. "Drat such custard!," Nature, Nature, vol. 438(7070), pages 922-923, December.
    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.

      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:taf:nmcmxx:v:18:y:2011:i:1:p:39-50. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/NMCM20 .

      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.