中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70507-070507.doi: 10.1088/1674-1056/ac5606
Xueyi Guan(管学义), Rongjun Cheng(程荣军)†, and Hongxia Ge(葛红霞)
Xueyi Guan(管学义), Rongjun Cheng(程荣军)†, and Hongxia Ge(葛红霞)
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.
中图分类号: (Transport processes)