IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v201y2025ip1s0960077925011993.html

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

Author

Listed:
  • Ma, Guangyi
  • Li, Keping

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.

Suggested Citation

  • Ma, Guangyi & Li, Keping, 2025. "Phase transitions of car following model considering driver characteristics and honk effect," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011993
    DOI: 10.1016/j.chaos.2025.117186
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925011993
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117186?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Ai, Wenhuan & Zhang, Jianhua & Li, Guoao & Liu, Dawei, 2025. "Study of behavioral transitions in the traffic system under honking environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 658(C).
    2. Yadav, Darshana & Siwach, Vikash & Redhu, Poonam, 2025. "The interplay of passing, driver attention, and cyber attack-induced information delays on traffic stability," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    3. Daljeet Kaur & Sandra C Unni & Mohit Yadav, 2025. "The role of predictive effect in lattice model incorporating traffic jerk effect," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(4), pages 1-7, April.
    4. Kaur, Daljeet & Sharma, Sapna & Gupta, Arvind Kumar, 2022. "Analyses of lattice hydrodynamic area occupancy model for heterogeneous disorder traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    5. Cheng-Ju Song & Hong-Fei Jia, 2022. "Car-Following Model Optimization and Simulation Based on Cooperative Adaptive Cruise Control," Sustainability, MDPI, vol. 14(21), pages 1-12, October.
    6. Kuang, Hua & Wang, Mei-Ting & Lu, Fang-Hua & Bai, Ke-Zhao & Li, Xing-Li, 2019. "An extended car-following model considering multi-anticipative average velocity effect under V2V environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    7. Peng, Guanghan & He, Hongdi & Lu, Wei-Zhen, 2016. "A new car-following model with the consideration of incorporating timid and aggressive driving behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 197-202.
    8. Tang, T.Q. & Li, C.Y. & Wu, Y.H. & Huang, H.J., 2011. "Impact of the honk effect on the stability of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3362-3368.
    9. Siwach, Vikash & Yadav, Darshana & Redhu, Poonam, 2025. "Enhancing driver’s attention and overtaking efficiency in car-following model for Advanced Driver Assistance Systems (ADAS) vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 657(C).
    10. Yu, Bin & Zhou, Huixin & Wang, Lin & Wang, Zirui & Cui, Shaohua, 2021. "An extended two-lane car-following model considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    11. Yu, Lei & Shi, Zhongke, 2008. "Nonlinear analysis of an extended traffic flow model in ITS environment," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 550-558.
    12. Cao, Bao-gui, 2015. "A new car-following model considering driver’s sensory memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 218-225.
    13. Kaur, Daljeet & Sharma, Sapna, 2020. "A new two-lane lattice model by considering predictive effect in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    14. Zhai, Cong & Wu, Weitiao & Xiao, Yingping, 2023. "The jamming transition of multi-lane lattice hydrodynamic model with passing effect," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    15. Jia, Bin & Jiang, Rui & Wu, Qing-Song & Hu, Mao-bin, 2005. "Honk effect in the two-lane cellular automaton model for traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 544-552.
    16. Yang, Yichen & Cao, Tianyu & Xu, Shangzhi & Qian, Yeqing & Li, Zhipeng, 2022. "Influence of driving style on traffic flow fuel consumption and emissions based on the field data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    17. H. B. Zhu & G. Y. Chen & H. Lin & Y. J. Zhou, 2018. "The impact of aggressive driving behaviors on multi-lane highway traffic flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-15, July.
    18. Daljeet Kaur & Sapna Sharma, 2020. "The impact of the predictive effect on traffic dynamics in a lattice model with passing," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(3), pages 1-10, March.
    19. G. F. Newell, 1961. "Nonlinear Effects in the Dynamics of Car Following," Operations Research, INFORMS, vol. 9(2), pages 209-229, April.
    20. Peng, Guanghan & Li, Xinhai & Wang, Hailing & Tan, Huili, 2024. "Bifurcation and phase transitions in car-following model integrating driver's characteristic and speed limit on spiral slope roads," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    21. Daljeet Kaur & Sapna Sharma, 2021. "Prior information affecting traffic dynamics in a two dimensional (2D) network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(9), pages 1-12, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peng, Guanghan & Wu, Kunning & Jiao, Wenjing & Yang, Shuhong & Wu, Zhuangsong & Xu, Longzhang & Lu, Chenchen & Tan, Huili & Xia, Dongxue, 2026. "Congestion transition in a heterogeneous ring road car-following model incorporating visual angle defect and speed limit effects," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    2. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Zhang, Jiyong & Zhai, Min, 2025. "Jam traffic pattern of a multi-phase lattice hydrodynamic model integrating a continuous self-stabilizing control protocol to boycott the malicious cyber-attacks," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    3. Peng, Guanghan & Wang, Keke & Tan, Huili & Huang, Darong, 2025. "Jamming transition of connected vehicles platform integrating speed change memory information to counteract cyber-attacks on slope lane," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    4. Peng, Guanghan & Li, Xinhai & Wang, Hailing & Tan, Huili, 2024. "Bifurcation and phase transitions in car-following model integrating driver's characteristic and speed limit on spiral slope roads," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    5. Tang, Yi & Zhai, Cong & Xiao, Yingping & Zhai, Min & Zhang, Jiyong, 2025. "Effect of malicious cyber-attack on jamming transition in a multi-phase mixed flow model under regular vehicles and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    6. Tian, Chuan & Kang, Yirong, 2025. "Modeling and optimal congestion control of multi-lane highway traffic with on-ramp and off-ramp under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 661(C).
    7. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    8. Jin, Can & Qing, Li & Zhu, Meilan & Peng, Guanghan, 2025. "Phase transitions and spectral entropy of heterogeneous vehicles comprised of CAVs and HDVs in flux restriction scenarios," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    9. Chen, Yujiao & Zhang, Futao & Qian, Yongsheng & Zeng, Junwei & Li, Xin, 2025. "A new car-following model considering the driver's dynamic reaction time and driving visual angle on the slope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 663(C).
    10. Siwach, Vikash & Yadav, Darshana & Redhu, Poonam, 2025. "Enhancing driver’s attention and overtaking efficiency in car-following model for Advanced Driver Assistance Systems (ADAS) vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 657(C).
    11. Yadav, Darshana & Siwach, Vikash & Redhu, Poonam, 2025. "The interplay of passing, driver attention, and cyber attack-induced information delays on traffic stability," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    12. Yu, Bin & Zhou, Huixin & Wang, Lin & Wang, Zirui & Cui, Shaohua, 2021. "An extended two-lane car-following model considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    13. Peng, Guanghan & Zheng, Mengyao & Xia, Dongxue & Tan, Huili & Li, Xiaoqin, 2025. "Bifurcation and jamming transition in car-following model integrating PD control to curb overtaking behaviors under CAVs platform," Chaos, Solitons & Fractals, Elsevier, vol. 200(P3).
    14. Yadav, Sunita & Redhu, Poonam, 2024. "Impact of driving prediction on headway and velocity in car-following model under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    15. Madaan, Nikita & Sharma, Sapna, 2022. "Delayed-feedback control in multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    16. Kaur, Daljeet & Sharma, Sapna & Gupta, Arvind Kumar, 2022. "Analyses of lattice hydrodynamic area occupancy model for heterogeneous disorder traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    17. Peng, Guanghan & Wang, Keke & Tan, Huili & Zhou, Tong, 2025. "Jamming transition in car-following model with electronic throttles incorporating continuous memory capabilities to mitigate cyber-attacks within a connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    18. Zhang, Jing & Gao, Qian & Tian, Junfang & Cui, Fengying & Wang, Tao, 2024. "Car-following model based on spatial expectation effect in connected vehicle environment: modeling, stability analysis and identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    19. Nikita Madaan & Sapna Sharma, 2022. "Influence of driver’s behavior with empirical lane changing on the traffic dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(1), pages 1-11, January.
    20. Redhu, Poonam & Mehta, Shubham, 2025. "Exploring visibility effects with flux variations under autonomous and human-driven vehicles environment in heterogeneous lattice model," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011993. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.