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Vehicular traffic flow through a series of signals with cycle time generated by a logistic map

Author

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  • Nagatani, Takashi
  • Sugiyama, Naoki

Abstract

We study the dynamical behavior of vehicular traffic through a series of traffic signals. The vehicular traffic is controlled with the use of the cycle time generated by a logistic map. Each signal changes periodically with a cycle time, and the cycle time varies from signal to signal. The nonlinear dynamic model of the vehicular motion is presented by a nonlinear map including the logistic map. The vehicular traffic exhibits very complex behavior on varying both the cycle time and the logistic-map parameter a. For a>3, the arrival time shows a linear dependence on the cycle time. Also, the dependence of vehicular motion on parameter a is clarified.

Suggested Citation

  • Nagatani, Takashi & Sugiyama, Naoki, 2013. "Vehicular traffic flow through a series of signals with cycle time generated by a logistic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 851-856.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:851-856
    DOI: 10.1016/j.physa.2012.10.015
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    Cited by:

    1. Haghani, Milad, 2021. "The knowledge domain of crowd dynamics: Anatomy of the field, pioneering studies, temporal trends, influential entities and outside-domain impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).

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