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
来源
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷
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
  • [41] A new lattice hydrodynamic model considering the effects of bilateral gaps on vehicular traffic flow
    Li, Yongfu
    Song, Yu
    Yang, Bin
    Zheng, Taixiong
    Feng, Huizong
    Li, Yinguo
    NONLINEAR DYNAMICS, 2017, 87 (01) : 1 - 11
  • [42] An improved lattice hydrodynamic model considering the "backward looking" effect and the traffic interruption probability
    Jiang, Changtao
    Cheng, Rongjun
    Ge, Hongxia
    NONLINEAR DYNAMICS, 2018, 91 (02) : 777 - 784
  • [43] 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, (05) : 135 - 140
  • [44] Multiple density difference effect in the two-lane lattice hydrodynamic model
    Wang, Yan-Hong
    Gao, Zi-You
    Zhao, Xiao-Mei
    Xie, Dong-Fan
    NONLINEAR DYNAMICS, 2015, 79 (03) : 1991 - 2003
  • [45] Analysis of drivers' continuous delay time effect on the lattice hydrodynamic model with the on-ramp
    Zhai, Cong
    Wu, Weitiao
    Xiao, Yingping
    Luo, Qiang
    Zhang, Yusong
    MODERN PHYSICS LETTERS B, 2022, 36 (08):
  • [46] An extended lattice hydrodynamic model considering the average optimal velocity effect field and driver's sensory memory
    Zheng, Yaxing
    Ge, Hongxia
    Cheng, Rongjun
    MODERN PHYSICS LETTERS B, 2021, 35 (20):
  • [47] Nonlinear analysis of a new lattice hydrodynamic model with the consideration of honk effect on flux for two-lane highway
    Peng, Guanghan
    Kuang, Hua
    Zhao, Hongzhuan
    Qing, Li
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 515 : 93 - 101
  • [48] New Feedback Control Model in the Lattice Hydrodynamic Model Considering the Historic Optimal Velocity Difference Effect
    彭光含
    阳树洪
    赵红专
    CommunicationsinTheoreticalPhysics, 2018, 70 (12) : 803 - 807
  • [49] New Feedback Control Model in the Lattice Hydrodynamic Model Considering the Historic Optimal Velocity Difference Effect
    Peng, Guang-Han
    Yang, Shu-Hong
    Zhao, Hong-Zhuan
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2018, 70 (06) : 803 - 807
  • [50] Stabilization effect of multiple density difference in the lattice hydrodynamic model
    Tao Wang
    Ziyou Gao
    Jing Zhang
    Nonlinear Dynamics, 2013, 73 : 2197 - 2205