IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-28091-0_24.html
   My bibliography  Save this book chapter

Bifurcation Analysis of Meta-Stability and Waves of the OV Model

In: Traffic and Granular Flow ’03

Author

Listed:
  • P. Berg

    (Simon Fraser University, Department of Mathematics)

  • E. Wilson

    (University of Bristol, Department of Engineering Mathematics)

Abstract

Summary This contribution re-visits the classical optimal-velocity model of Bando et al [1], describing vehicles on a loop, and explains the different wave types and meta-stable behaviour from the mathematical viewpoint of bifurcation theory. We apply the numerical continuation package AUTO for a rapid derivation of phase diagrams to investigate the relation between coexisting states, flow transitions and hysteresis in traffic flow. Some extensions which involve (i) multiple look-ahead effects and (ii) delay are also discussed.

Suggested Citation

  • P. Berg & E. Wilson, 2005. "Bifurcation Analysis of Meta-Stability and Waves of the OV Model," Springer Books, in: Serge P. Hoogendoorn & Stefan Luding & Piet H. L. Bovy & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’03, pages 247-252, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-28091-0_24
    DOI: 10.1007/3-540-28091-X_24
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-540-28091-0_24. 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.