Journal
NONLINEAR DYNAMICS
Volume 85, Issue 3, Pages 1469-1478Publisher
SPRINGER
DOI: 10.1007/s11071-016-2772-7
Keywords
Traffic flow; Car-following model; Phase transition; TDGL equation; mKdV equation
Categories
Funding
- National Natural Science Foundation of China [71571107]
- Scientific Research Fund of Zhejiang Provincial, China [LY15A020007, LY15E080013, LY16G010003]
- Natural Science Foundation of Ningbo [2015A610167, 2015A610168]
- K.C. Wong Magna Fund in Ningbo University, China
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In the paper, an improved car-following model based on the full velocity difference model considering the influence of optimal velocity for leading vehicle on a single-lane road is proposed. The linear stability condition of the model is obtained by applying the linear stability theory. Through nonlinear analysis, the time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived to describe the traffic flow near the critical point. In addition, the connection between the TDGL and the mKdV equations is also given. Good agreement between the simulation and the theoretical results shows that the improved model can be enhanced the stability of traffic flow.
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