IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v25y2005i1p245-253.html
   My bibliography  Save this article

Chaotic and periodic motions of two competing vehicles controlled by traffic lights

Author

Listed:
  • Nagatani, Takashi
  • Nagai, Ryoichi

Abstract

We study the dynamical behavior of two vehicles moving through a sequence of traffic lights, where the traffic lights turn on and off periodically on a highway. Each vehicle speeds up or down if it is overtaken by the other vehicle or it passes over the other. The dynamical model of two vehicles controlled by both speed and traffic light is expressed in terms of the nonlinear maps. The motion of vehicles is determined by two parameters: speed’s variation rate and cycle time of traffic lights. When the speed’s variation rate is higher than the critical value, the vehicles exhibit the chaotic motion. The vehicles move chaotically even if the model is deterministic. By varying both parameters, the complex dynamical transitions occur among the regular, periodic, and chaotic motions. The dynamical transitions between the complex motions are clarified.

Suggested Citation

  • Nagatani, Takashi & Nagai, Ryoichi, 2005. "Chaotic and periodic motions of two competing vehicles controlled by traffic lights," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 245-253.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:1:p:245-253
    DOI: 10.1016/j.chaos.2004.11.037
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077904007143
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2004.11.037?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. Nagatani, Takashi, 2005. "Self-similar behavior of a single vehicle through periodic traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 673-682.
    2. Maniccam, S, 2003. "Traffic jamming on hexagonal lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 653-664.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. 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).

    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.
    1. Zhao, Yongxiang & Li, Meifang & Lu, Xin & Tian, Lijun & Yu, Zhiyong & Huang, Kai & Wang, Yana & Li, Ting, 2017. "Optimal layout design of obstacles for panic evacuation using differential evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 175-194.
    2. Ha, Vi & Lykotrafitis, George, 2012. "Agent-based modeling of a multi-room multi-floor building emergency evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2740-2751.
    3. Leng, Biao & Wang, Jianyuan & Xiong, Zhang, 2015. "Pedestrian simulations in hexagonal cell local field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 532-543.
    4. Zhao, Yongxiang & Zhang, H.M., 2017. "A unified follow-the-leader model for vehicle, bicycle and pedestrian traffic," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 315-327.
    5. Shang, Hua-Yan & Huang, Hai-Jun & Zhang, Yi-Ming, 2015. "An extended mobile lattice gas model allowing pedestrian step size variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 283-293.
    6. Yuan, PengCheng & Lin, XuXun, 2017. "How long will the traffic flow time series keep efficacious to forecast the future?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 419-431.
    7. Leng, Biao & Wang, Jianyuan & Zhao, Wenyuan & Xiong, Zhang, 2014. "An extended floor field model based on regular hexagonal cells for pedestrian simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 119-133.

    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:eee:chsofr:v:25:y:2005:i:1:p:245-253. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.