IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v322y2003icp685-697.html
   My bibliography  Save this article

Complex motions of shuttle buses by speed control

Author

Listed:
  • Nagatani, Takashi

Abstract

We study the dynamical behavior of shuttle buses on a route where N buses shuttle between an origin and a destination repeatedly. We present the dynamic model of shuttle buses to take into account the speed control depending on time headway between buses. The model is described by N-dimensional map governed by loading parameter and speed's variation rate. It is found that the distinct dynamical states (the regular, periodic, and chaotic motions) appear by varying both parameters. Also, the dynamical states depend on the number of buses. The dynamical transitions among the distinct dynamical states are investigated. The recurrence time (one period), Liapunov exponent, and return map are calculated for distinct dynamic states.

Suggested Citation

  • Nagatani, Takashi, 2003. "Complex motions of shuttle buses by speed control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 685-697.
    • Handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:685-697
    DOI: 10.1016/S0378-4371(02)01829-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102018290
    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(02)01829-0?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. Ai, Wen-Huan & Shi, Zhong-Ke & Liu, Da-Wei, 2015. "Bifurcation analysis of a speed gradient continuum traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 418-429.
    2. Peng, Guanghan & Wang, Wanlin & Tan, Huili, 2023. "Chaotic jam and phase transitions in heterogeneous lattice model integrating the delay characteristics difference with passing effect under autonomous and human-driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

    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:322:y:2003:i:c:p:685-697. 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.