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

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  • Nagatani, Takashi
  • Sugiyama, Naoki
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112009119
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 392 (2013)
    Issue (Month): 4 ()
    Pages: 851-856

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    Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:851-856

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Traffic dynamics; Signal control; Logistic map; Chaos; Nonlinear map; Complex system;

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