Phase transitions of car following model considering driver characteristics and honk effect

Guangyi Ma and Keping Li

Chaos, Solitons & Fractals, 2025, vol. 201, issue P1

Abstract: The influence of honk extends beyond indirectly altering vehicle velocity to directly impacting driver behavior. To comprehensively investigate the combined effects of driver characteristics and honk on traffic flow dynamics, this study proposes an enhanced car following model that incorporates both driver characteristics and honk effect. The model’s stability is analytically examined using the small perturbation method, yielding precise stability conditions. Through nonlinear analysis, the modified Korteweg–de Vries equation near the neutral stability curve’s critical point is inferred. Furthermore, bifurcation analysis is employed to explore the stability of Hopf bifurcation, providing deeper insights into traffic system behavior. Numerical simulations validate the theoretical findings, demonstrating that aggressive driving tendencies combined with the honk effect enhance traffic system stability and mitigate congestion. Conversely, overly cautious driving behavior is shown to diminish system stability. In addition, the parameters of the extended model are calibrated using the NGSIM dataset, and the calibrated extended model fitted well with the actual data. These results offer valuable implications for traffic management strategies and driver behavior modification programs.

Keywords: Car following model; Driver characteristics; Honk effect; Nonlinear analysis; Bifurcation analysis (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011993

DOI: 10.1016/j.chaos.2025.117186

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