TDGL and mKdV equations for car-following model considering traffic jerk

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• 作者：Fangxun Liu ; Rongjun Cheng ; Pengjun Zheng ; Hongxia Ge
• 关键词：Traffic flow ; Traffic jerk ; Phase transition ; TDGL equation ; mKdV equation
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：83
• 期：1-2
• 页码：793-800
• 全文大小：997 KB
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• 作者单位：Fangxun Liu (1) (2) (3)
  Rongjun Cheng (4)
  Pengjun Zheng (1) (2) (3)
  Hongxia Ge (1) (2) (3)
  
  1. Faculty of Maritime and Transportation, Ningbo University, Ningbo, 315211, China
  2. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing, 210096, China
  3. National Traffic Management Engineering and Technology Research Centre, Ningbo University Sub-centre, Ningbo, 315211, China
  4. Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University, Ningbo, 315211, China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

A new traffic flow model is proposed based on an optimal velocity car-following model, which takes the traffic jerk effect into consideration. The nature of the model is researched by using linear and nonlinear analysis method. In traffic flow, the phase transition and the critical phenomenon which are described by the thermodynamic theory. The time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Veris (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. Numerical simulation is given to demonstrate the theoretical results. Keywords Traffic flow Traffic jerk Phase transition TDGL equation mKdV equation