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

Takashi Nagatani and Naoki Sugiyama

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 851-856

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.

Keywords: Traffic dynamics; Signal control; Logistic map; Chaos; Nonlinear map; Complex system (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:851-856

DOI: 10.1016/j.physa.2012.10.015

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