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Complex motion of a shuttle bus between two terminals with periodic inflows

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  • Nagatani, Takashi

Abstract

We investigate the dynamic behavior of a shuttle bus serving repeatedly between two terminals when passengers come periodically at two terminals A and B. The period and phase of the periodic inflow of passengers at terminal A are different from those at terminal B. The dynamic behavior of the bus is highly affected by the difference between two periods and the phase difference. The bus schedule is closely related to the dynamics. We present the extended circle map model for the dynamics of the shuttle bus. The motion of the shuttle bus depends highly on the inflow periods, the period difference, the phase difference, and the loading parameter. The shuttle bus displays the periodic, quasi-periodic, and chaotic motions. The quasi-periodic motion changes to a chaotic motion by the difference between two periods.

Suggested Citation

  • Nagatani, Takashi, 2016. "Complex motion of a shuttle bus between two terminals with periodic inflows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 254-264.
    • Handle: RePEc:eee:phsmap:v:449:y:2016:i:c:p:254-264
    DOI: 10.1016/j.physa.2016.01.011
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    Cited by:

    1. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of social optimum for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 275-283.
    2. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 8-18.
    3. Li, Chuan-Yao & Xu, Guang-Ming & Tang, Tie-Qiao, 2018. "Social optimum for evening commute in a single-entry traffic corridor with no early departures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 236-247.

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