Complex motion of a vehicle through a series of signals controlled by power-law phase

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2017, vol. 478, issue C, 1-10

Abstract: We study the dynamic motion of a vehicle moving through the series of traffic signals controlled by the position-dependent phase of power law. All signals are controlled by both cycle time and position-dependent phase. The dynamic model of the vehicular motion is described in terms of the nonlinear map. The vehicular motion varies in a complex manner by varying cycle time for various values of the power of the position-dependent phase. The vehicle displays the periodic motion with a long cycle for the integer power of the phase, while the vehicular motion exhibits the very complex behavior for the non-integer power of the phase.

Keywords: Traffic dynamics; Signal control; Power law; Nonlinear map; Complex system (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:478:y:2017:i:c:p:1-10

DOI: 10.1016/j.physa.2017.02.059

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