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Successive jamming transitions in traffic flow on directed Sierpinski gasket

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  • Nagatani, Takashi

Abstract

We study the macroscopic traffic flow and jamming transitions on directed Sierpinski gasket fractal which is closely connected to complex network. We propose a dynamic model for macroscopic traffic flow on directed Sierpinski gasket. The macroscopic dynamic equations of vehicular densities are derived on the directed network. It is shown where and how traffic jam occurs on directed networks. It is found that multiple transitions occur successively with increasing vehicular density. The successive transition points are derived numerically and analytically.

Suggested Citation

  • Nagatani, Takashi, 2023. "Successive jamming transitions in traffic flow on directed Sierpinski gasket," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012693
    DOI: 10.1016/j.chaos.2022.113090
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    Cited by:

    1. Benatti, Alexandre & da F. Costa, Luciano, 2024. "On the transient and equilibrium features of growing fractal complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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