IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v201y2025ip1s0960077925012421.html

Jamming transition in hybrid lattice model integrating self-stabilization control under heterogeneous vehicles scenario

Author

Listed:
  • Yang, Shuhong
  • Xia, Dongxue
  • Peng, Guanghan

Abstract

Due to the complex and open nature of the transportation system, it is highly susceptible to instability, especially in mixed situations with heterogeneous vehicles. Additionally, with the development of connected technology, connected autonomous vehicles (CAVs) will also occur on the road. Obviously, this will be much more complex than the traditional situation of human-driving vehicles (HDVs). Therefore, regarding this phenomenon, a new hybrid lattice model is created by applying self-stabilization control strategies to improve behaviors of heterogeneous vehicles. Moreover, the self-stabilization control has a significant promoting effect on the linear stability and mKdV equation through theory analysis. Additionally, the impact of self-stabilization control on evolution process concerning density and limit loop has been investigated via simulation on the heterogeneous vehicles scenario, which demonstrates that self-stabilization control can effectively strengthen the stability of heterogeneous vehicles.

Suggested Citation

  • Yang, Shuhong & Xia, Dongxue & Peng, Guanghan, 2025. "Jamming transition in hybrid lattice model integrating self-stabilization control under heterogeneous vehicles scenario," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925012421
    DOI: 10.1016/j.chaos.2025.117229
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925012421
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117229?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. Zhao, Hongzhuan & Tang, Yijie & Tian, Ruijue & Yan, Qiang & Yuan, Quan & Wang, Tao & Zhou, Dan & Zhang, Yicai & Yang, Liangyi & Xu, Qi, 2025. "A lattice hydrodynamic model for on-ramp and off-ramp traffic flow considering non-equilibrium characteristics and heterogeneous mixed-flow speed delay," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    2. Nagatani, Takashi, 1998. "Modified KdV equation for jamming transition in the continuum models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 599-607.
    3. Yao, Zhihong & Xu, Taorang & Jiang, Yangsheng & Hu, Rong, 2021. "Linear stability analysis of heterogeneous traffic flow considering degradations of connected automated vehicles and reaction time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    4. Zhai, Cong & Wu, Weitiao & Zhang, Jiyong & Xiao, Yingping & Zhai, Min, 2024. "An anisotropic macroscopic mixed-flow model integrating the perceptual domains differences impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    5. Yao, Zhihong & Deng, Haowei & Chen, Zikang & He, Xiang & Ai, Yi & Wu, Yunxia, 2024. "Linear internal stability for mixed traffic flow of CAVs with different automation levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).
    6. Yuan, Shijiao & Chen, Qiang, 2025. "Harmony in heterogeneous traffic flow: A lattice hydrodynamic model with perception diversity and predictive effect coordinated by bilaterally controlled CAVs," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    7. 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).
    8. 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).
    9. 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).
    10. Redhu, Poonam & Siwach, Vikash, 2018. "An extended lattice model accounting for traffic jerk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1473-1480.
    11. Peng, Guanghan & Wu, Kunning & Tan, Huili, 2024. "Bifurcation and phase transitions in heterogeneous non-lane-discipline-based car-following model integrating cooperative feedback control under automated and human-driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    12. Wu, Xinyu & Xiao, Xinping, 2024. "An improved stochastic car-following model considering the complete state information of multiple preceding vehicles under connected vehicles environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 644(C).
    13. Zong, Fang & Yue, Sheng & Zeng, Meng & He, Zhengbing & Ngoduy, Dong, 2025. "Platoon or individual: An adaptive car-following control of connected and automated vehicles," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    14. Qiao, Yanfeng & Tang, Yuan & Xue, Yu & Yao, Ronghan & Pan, Baofeng & Liu, Min, 2025. "Analysis of linear stability and damping characteristics of car-following model with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 660(C).
    15. Nagatani, Takashi, 1999. "TDGL and MKdV equations for jamming transition in the lattice models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 581-592.
    16. 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).
    17. Cong Zhai & Weitiao Wu, 2020. "A modified two-dimensional triangular lattice model under honk environment," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-16, June.
    18. 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).
    19. Zong, Fang & Wang, Meng & Tang, Jinjun & Zeng, Meng, 2022. "Modeling AVs & RVs’ car-following behavior by considering impacts of multiple surrounding vehicles and driving characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    20. Qi, Weiwei & Ma, Siwei & Fu, Chuanyun, 2023. "An improved car-following model considering the influence of multiple preceding vehicles in the same and two adjacent lanes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P2).
    21. Cong Zhai & Weitiao Wu, 2020. "A new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-16, February.
    22. Wang, Shutong & Zhu, Wen-Xing, 2022. "Modeling the heterogeneous traffic flow considering mean expected velocity field and effect of two-lane communication under connected environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    23. Guan, Xueyi & Qin, Jin & Cheng, Rongjun & Wang, Ting & Hao, Wei, 2025. "Hopf bifurcation analysis and control of two-lane car-following model for connected vehicles with driver assistance systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 667(C).
    24. Wang, Shu-Tong & Zhu, Wen-Xing, 2025. "Bifurcation analysis of mixed traffic system with different car-following modes and distributed PID control strategy based on particle swarm optimizer," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    25. Zhai, Cong & Zhang, Ronghui & Peng, Tao & Zhong, Changfu & Xu, Hongguo, 2023. "Heterogeneous lattice hydrodynamic model and jamming transition mixed with connected vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    26. 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).
    27. Li, Xia & Pang, Xiaomin & Zhang, Song & You, Zhijian & Ma, Xinwei & Chuo, Eryong, 2024. "Car-following model based on artificial potential field with consideration of horizontal curvature in connected vehicles environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    28. Zhou, Bojian & Li, Shihao & Wang, Shuaiqi & Xu, Min, 2025. "Analysis of stability and cooperation in traffic flow with connected automated vehicles under perceptual uncertainty," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    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 & 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).
    2. Peng, Guanghan & Liu, Yuangui & Tan, Huili & Xia, Dongxue & Zhou, Tong, 2025. "Phase transition in lattice hydrodynamic model integrating random anomalous information under connected autonomous vehicles surroundings," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    3. Yang, Shuhong & Xia, Dongxue & Liu, Yuangui & Peng, Guanghan, 2026. "Phase transition in heterogeneous traffic streams integrating current optimal flux difference under human-driven and connected autonomous vehicles scenario," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    4. 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).
    5. Zhou, Tong & Tian, Yudan & Zhu, Meilan & Peng, Guanghan, 2025. "Phase transitions and spectrum evaluation in mixed traffic model concerned with Interruption Probability Effect under CAVs and HDVs surroundings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 672(C).
    6. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Zhang, Jiyong & Zhai, Min & Wu, Yingzi, 2025. "A novel throttle-based self-stabilizing control scheme integrated into an anisotropic continuum model to mitigate cyber-attacks in connected vehicle scenarios," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    7. Jin, Can & Peng, Guanghan & Huang, Yixin, 2025. "Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    8. 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).
    9. 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).
    10. 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).
    11. 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).
    12. 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).
    13. Mehta, Shubham & Redhu, Poonam & Siwach, Vikash, 2026. "Stability analysis in multi-lane traffic flow model with density delay and lane-changing dynamics: A spatiotemporal and Lyapunov analysis," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    14. 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).
    15. Yadav, Darshana & Siwach, Vikash & Redhu, Poonam, 2025. "Impact of headway uncertainty on traffic flow: Asymptotic and local stability analysis of car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 680(C).
    16. Hosen, Md. Zakir & Hossain, Md. Anowar & Tanimoto, Jun, 2025. "A modified lattice hydrodynamic traffic flow model incorporating preceding vehicle jerk dynamics under V2V communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 680(C).
    17. Tian, Chuan & Chen, Yijun & Xiao, Qingxiang & Xiong, Qiongbing, 2025. "Self-stabilizing lattice model with feedback-feedforward coupling and its nonlinear stability analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 678(C).
    18. Zhou, Tong & Tian, Yudan & Zhu, Meilan & Peng, Guanghan & Huang, Darong, 2025. "Phase transitions in mixed traffic streams comprising HDVsand CAVs through the implementation of delayed control mechanisms to mitigate traffic jerk," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    19. Verma, Muskan & Gupta, Arvind Kumar & Sharma, Sapna, 2025. "Phase transitions in a multi-phase lattice hydrodynamic area occupancy model in mixed disorder traffic considering connected and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 658(C).
    20. Peng, Guanghan & Zhu, Meilan & Tan, Huili, 2024. "Jams and phase transitions in heterogeneous lattice model integrating the continuous delayed feedback control to boycott cyber-attacks under connected autonomous and human driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).

    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:s0960077925012421. 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.