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Chin. Phys. B, 2022, Vol. 31(7): 070507    DOI: 10.1088/1674-1056/ac5606
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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
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.
Keywords:  visual angle      bifurcation analysis      anticipated time      stabilizing driving behavior      TDGL and mKdV equations  
Received:  06 December 2021      Revised:  22 January 2022      Accepted manuscript online:  17 February 2022
PACS:  05.60.-k (Transport processes)  
  45.70.Vn (Granular models of complex systems; traffic flow)  
Fund: 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.
Corresponding Authors:  Rongjun Cheng     E-mail:  chengrongjun@nbu.edu.cn

Cite this article: 

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 2022 Chin. Phys. B 31 070507

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