Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior

doi:10.1088/1674-1056/ac5606

中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70507-070507.doi: 10.1088/1674-1056/ac5606

Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior

Xueyi Guan(管学义), Rongjun Cheng(程荣军)^†, and Hongxia Ge(葛红霞)

Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

收稿日期:2021-12-06 修回日期:2022-01-22 接受日期:2022-02-17 出版日期:2022-06-09 发布日期:2022-06-09
通讯作者: Rongjun Cheng E-mail:chengrongjun@nbu.edu.cn
基金资助:
Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LY22G010001, LY20G010004), the Program of Humanities and Social Science of Education Ministry of China (Grant No. 20YJA630008), the National Key Research and Development Program of China-Traffic Modeling, Surveillance and Control with Connected & Automated Vehicles (Grant No. 2017YFE9134700), and the K.C. Wong Magna Fund in Ningbo University, China.

Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior

Xueyi Guan(管学义), Rongjun Cheng(程荣军)^†, and Hongxia Ge(葛红霞)

Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

Received:2021-12-06 Revised:2022-01-22 Accepted:2022-02-17 Online:2022-06-09 Published:2022-06-09
Contact: Rongjun Cheng E-mail:chengrongjun@nbu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LY22G010001, LY20G010004), the Program of Humanities and Social Science of Education Ministry of China (Grant No. 20YJA630008), the National Key Research and Development Program of China-Traffic Modeling, Surveillance and Control with Connected & Automated Vehicles (Grant No. 2017YFE9134700), and the K.C. Wong Magna Fund in Ningbo University, China.

摘要/Abstract

摘要： In the light of the visual angle model (VAM), an improved car-following model considering driver's visual angle, anticipated time and stabilizing driving behavior is proposed so as to investigate how the driver's behavior factors affect the stability of the traffic flow. Based on the model, linear stability analysis is performed together with bifurcation analysis, whose corresponding stability condition is highly fit to the results of the linear analysis. Furthermore, the time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived by nonlinear analysis, and we obtain the relationship of the two equations through the comparison. Finally, parameter calibration and numerical simulation are conducted to verify the validity of the theoretical analysis, whose results are highly consistent with the theoretical analysis.

关键词: visual angle, bifurcation analysis, anticipated time, stabilizing driving behavior, TDGL and mKdV equations

Abstract: In the light of the visual angle model (VAM), an improved car-following model considering driver's visual angle, anticipated time and stabilizing driving behavior is proposed so as to investigate how the driver's behavior factors affect the stability of the traffic flow. Based on the model, linear stability analysis is performed together with bifurcation analysis, whose corresponding stability condition is highly fit to the results of the linear analysis. Furthermore, the time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived by nonlinear analysis, and we obtain the relationship of the two equations through the comparison. Finally, parameter calibration and numerical simulation are conducted to verify the validity of the theoretical analysis, whose results are highly consistent with the theoretical analysis.

Key words: visual angle, bifurcation analysis, anticipated time, stabilizing driving behavior, TDGL and mKdV equations

中图分类号: (Transport processes)

05.60.-k

45.70.Vn (Granular models of complex systems; traffic flow)

Xueyi Guan(管学义), Rongjun Cheng(程荣军), and Hongxia Ge(葛红霞). Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior[J]. 中国物理B, 2022, 31(7): 70507-070507.

Xueyi Guan(管学义), Rongjun Cheng(程荣军), and Hongxia Ge(葛红霞). Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior[J]. Chin. Phys. B, 2022, 31(7): 70507-070507.

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Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior

Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior

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