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

作　　者：Xueyi Guan Rongjun Cheng Hongxia Ge 管学义;程荣军;葛红霞(Faculty of Maritime and Transportation,Ningbo University,Ningbo 315211,China)

机构地区：[1]Faculty of Maritime and Transportation,Ningbo University,Ningbo 315211,China

出　　处：《Chinese Physics B》2022年第7期214-228,共15页中国物理B（英文版）

基　　金：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);the K.C.Wong Magna Fund in Ningbo University,China。

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(m Kd V)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 

分 类 号：O175[理学—数学] U491.25[理学—基础数学]