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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

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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    1. Luciano Andreozzi, 2004. "Rewarding Policemen Increases Crime. Another Surprising Result from the Inspection Game," Public Choice, Springer, vol. 121(1), pages 69-82, October.
    2. repec:cup:apsrev:v:84:y:1990:i:02:p:569-586_19 is not listed on IDEAS
    3. Vega-Redondo,Fernando, 2003. "Economics and the Theory of Games," Cambridge Books, Cambridge University Press, number 9780521772518, December.
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