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Two-parameter bifurcation and energy consumption analysis of the macro traffic flow model

Author

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  • Lixia Duan

    (North China University of Technology)

  • Shuangshuang Fan

    (North China University of Technology)

  • Danyang Liu

    (Beijing Institude of Technology)

  • Zhonghe He

    (North China University of Technology)

Abstract

Bifurcation of traffic flow involves complex dynamic characteristics of the system. In order to understand the complex traffic phenomenon, this work designed a macro traffic model considering the driver’s memory which plays an important role in the traffic flow. Based on this model, we investigate the effects of the driver’s memory and wave velocity on the stability of the traffic flow. By means of one and two parameter bifurcation analysis, we explore how these parameters affect the bifurcation structure of the system, and further investigate the dynamic mechanisms of traffic flow. We explain various traffic phenomena related to the different types of equilibrium points and limit cycles by phase plane analysis. We also study how the initial density and bifurcation structure affect the energy consumption in the system. The results show that the driver’s memory and wave velocity play an important role in the stability of the traffic flow. By considering the change of bifurcation structure, we can better understand the source of traffic congestion, and further predict and control the possible traffic congestion. Graphic abstract

Suggested Citation

  • Lixia Duan & Shuangshuang Fan & Danyang Liu & Zhonghe He, 2022. "Two-parameter bifurcation and energy consumption analysis of the macro traffic flow model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(12), pages 1-12, December.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:12:d:10.1140_epjb_s10051-022-00469-9
    DOI: 10.1140/epjb/s10051-022-00469-9
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    References listed on IDEAS

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    1. Wen Huan Ai & Ming Ming Wang & Da Wei Liu, 2024. "Saddle-node bifurcation control of macroscopic traffic flow model considering vehicle braking effect," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(5), pages 1-13, May.

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