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October 13, 2025Open Access

Taming Spontaneous Stop-and-Go Traffic Waves: A Bifurcation Perspective of A Dynamical Map

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Authors

SHSuzhou HuangNanjing University of Chinese MedicineJHJian HuJinan University

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Implication

Bifurcation analysis reveals stability in traffic flow under variable speed advisories, enhancing smoothness.

Key Points

  • The model demonstrates that a designated speed advisory can eliminate stop-and-go waves, thereby enhancing traffic flow.
  • When examining varying vehicle densities, the bifurcation diagram shows regions of stability for both free-flow and stop-and-go conditions.
  • Analysis employs a dynamical system derived from utility maximization, focusing on human driving behavior in traffic contexts.
  • Switching off noise and heterogeneity in the model allows for a clear representation of limit solutions using discrete-time dynamics.

Cite This Study

Huang et al. (2025) studied this question.

synapsesocial.com/papers/68ed1896f29694dd1da78c15https://doi.org/10.48550/arxiv.2509.09466
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