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
  • [21] Stabilization effect of multiple density difference in the lattice hydrodynamic model
    Wang, Tao
    Gao, Ziyou
    Zhang, Jing
    NONLINEAR DYNAMICS, 2013, 73 (04) : 2197 - 2205
  • [22] Lattice hydrodynamic model with bidirectional pedestrian flow
    Tian, Huan-huan
    He, Hong-di
    Wei, Yan-fang
    Yu, Xue
    Lu, Wei-zhen
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (14) : 2895 - 2902
  • [23] Flow difference effect in the lattice hydrodynamic model
    Tian Jun-Fang
    Jia Bin
    Li Xing-Gang
    Gao Zi-You
    CHINESE PHYSICS B, 2010, 19 (04)
  • [24] An extended lattice hydrodynamic model based on control theory considering the memory effect of flux difference
    Qin, Shunda
    He, Zhiting
    Cheng, Rongjun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 509 : 809 - 816
  • [25] An improved lattice hydrodynamic model considering the driver's desire of driving smoothly
    Wang, Jufeng
    Sun, Fengxin
    Ge, Hongxia
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 515 : 119 - 129
  • [26] TDGL equation in lattice hydrodynamic model considering driver’s physical delay
    Hong-Xia Ge
    Peng-Jun Zheng
    Siu-Ming Lo
    Rong-Jun Cheng
    Nonlinear Dynamics, 2014, 76 : 441 - 445
  • [27] Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment*
    Zhang, Geng
    Tian, Da-Dong
    CHINESE PHYSICS B, 2021, 30 (12)
  • [28] TDGL equation in lattice hydrodynamic model considering driver's physical delay
    Ge, Hong-Xia
    Zheng, Peng-Jun
    Lo, Siu-Ming
    Cheng, Rong-Jun
    NONLINEAR DYNAMICS, 2014, 76 (01) : 441 - 445
  • [29] Stability Analysis of Lattice Model Considering the Honk Effect and Driver Heterogeneity
    Zhai C.
    Wu W.-T.
    Zidonghua Xuebao/Acta Automatica Sinica, 2020, 46 (08): : 1738 - 1747
  • [30] Feedback control method in lattice hydrodynamic model under honk environment
    Peng, Guanghan
    Kuang, Hua
    Qing, Li
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 509 : 651 - 656