A lattice hydrodynamic model considering the following lattice and its stability analysis

被引:0
|
作者
Han, Xianglin [1 ]
Ouyang, Cheng [1 ]
机构
[1] Huzhou Teachers Coll, Coll Sci, Huzhou 313000, Peoples R China
关键词
Lattice hydrodynamic model; Traffic flow; Intelligent transportation system (ITS); MKdV equation; Stability; TRAFFIC FLOW MODEL;
D O I
10.4028/www.scientific.net/AMM.0.293
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Incorporating the ITS in traffic flow, two lattice hydrodynamic models considering the following lattice are proposed to study the influence of the following lattice on traffic flow stability. The results from the linear stability theory show that considering the following lattice could lead to the improvement of the traffic flow stability. The modified Korteweg-de Vries equations (the mKdV equation, for short) near the critical point are derived by using the nonlinear perturbation method to show that the traffic jam could be described by the kink-antikink soliton solutions for the mKdV equations.
引用
收藏
页码:293 / 298
页数:6
相关论文
共 50 条
  • [21] Lyapunov stability analysis for a discrete-time lattice hydrodynamic model with steady flow control
    Jiang, Shan
    Xiong, Wen-ze
    Pan, Dong-bo
    Zhang, Yu
    Zhang, Geng
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2022, 33 (02):
  • [22] Stability of lattice Boltzmann methods in hydrodynamic regimes
    Worthing, RA
    Mozer, J
    Seeley, G
    PHYSICAL REVIEW E, 1997, 56 (02): : 2243 - 2253
  • [23] The control method for the lattice hydrodynamic model
    Ge, Hong-Xia
    Cui, Yu
    Zhu, Ke-Qiang
    Cheng, Rong-Jun
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 903 - 908
  • [24] Analysis of predictive effect on lattice hydrodynamic traffic flow model
    Wang, Tao
    Zang, Rudong
    Xu, Keyu
    Zhang, Jing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 526
  • [25] Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation
    Li, Zhicheng
    Ma, Changxi
    JOURNAL OF ADVANCED TRANSPORTATION, 2022, 2022
  • [26] A new lattice hydrodynamic model for bidirectional pedestrian flow considering the visual field effect
    Hua Kuang
    Tao Chen
    Xing-Li Li
    Siu-Ming Lo
    Nonlinear Dynamics, 2014, 78 : 1709 - 1716
  • [27] An improved lattice hydrodynamic model considering the “backward looking” effect and the traffic interruption probability
    Changtao Jiang
    Rongjun Cheng
    Hongxia Ge
    Nonlinear Dynamics, 2018, 91 : 777 - 784
  • [28] A new control method based on the lattice hydrodynamic model considering the double flux difference
    秦顺达
    葛红霞
    程荣军
    Chinese Physics B, 2018, 27 (05) : 135 - 140
  • [29] An Improved Lattice Hydrodynamic Model by considering the Effect of "Backward-Looking" and Anticipation Behavior
    Wan, Jin
    Huang, Xin
    Qin, Wenzhi
    Gu, Xiuge
    Zhao, Min
    COMPLEXITY, 2021, 2021
  • [30] A new control method based on the lattice hydrodynamic model considering the double flux difference
    Qin, Shunda
    Ge, Hongxia
    Cheng, Rongjun
    CHINESE PHYSICS B, 2018, 27 (05)