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Analytical calculation of critical perturbation amplitudes and critical densities by non-linear stability analysis of a simple traffic flow model

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  • D. Helbing
  • M. Moussaid

Abstract

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Suggested Citation

  • D. Helbing & M. Moussaid, 2009. "Analytical calculation of critical perturbation amplitudes and critical densities by non-linear stability analysis of a simple traffic flow model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 69(4), pages 571-581, June.
    • Handle: RePEc:spr:eurphb:v:69:y:2009:i:4:p:571-581
    DOI: 10.1140/epjb/e2009-00042-6
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    Citations

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    Cited by:

    1. 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.
    2. Nishi, Ryosuke, 2020. "Theoretical conditions for restricting secondary jams in jam-absorption driving scenarios," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    3. Taniguchi, Yohei & Nishi, Ryosuke & Ezaki, Takahiro & Nishinari, Katsuhiro, 2015. "Jam-absorption driving with a car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 304-315.
    4. Li, Xiaopeng & Ouyang, Yanfeng, 2011. "Characterization of traffic oscillation propagation under nonlinear car-following laws," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1346-1361.
    5. Amin Mazloumian & Nikolas Geroliminis & Dirk Helbing, "undated". "The Spatial Variability of Vehicle Densities as Determinant of Urban Network Capacity," Working Papers CCSS-09-009, ETH Zurich, Chair of Systems Design.

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