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

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  • 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
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    References listed on IDEAS

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    1. Maniccam, S, 2003. "Traffic jamming on hexagonal lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 653-664.
    2. 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.
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    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).

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