Global stability and bifurcation of macroscopic traffic flow models for upslope and downslope-Reference-Cited by-同舟云学术

Global stability and bifurcation of macroscopic traffic flow models for upslope and downslope

Published:2022-11-20 Issue:4 Volume:111 Page:3725-3742
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Cen Bing-Ling,Xue Yu^ORCID,Qiao Yan-Feng,Wang Yi,Pan Wei,He Hong-Di

Funder

National Natural Science Foundation of China

Natural Science Foundation of Guangxi Province

Innovation Project of Guangxi Graduate Education

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s11071-022-08032-y.pdf

Reference68 articles.

1. Payne, H.J.: FREFLO: A macroscopic simulation model of freeway traffic. Transp. Res. Rec. 722, 68–77 (1979)

2. Nagatani, T.: The physics of traffic jams. Rep. Prog. Phys. 65, 1331–1386 (2002)

3. Zhang, H.M.: A theory of non-equilibrium traffic flow. Transp. Res. Part B 32, 485–498 (1998)

4. Nagel, K., Schreckenberg, M.: A cellular automaton model for freeway traffic. J. Phys. I(2), 2221–2229 (1992)

5. Mcdowell, M.: Kinetic theory of vehicular traffic. J. Oper. Res. Soc. 23(4), 599–600 (2017)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Traffic flow bifurcation control of autonomous vehicles through a hybrid control strategy combining multi-step prediction and memory mechanism with PID;Communications in Nonlinear Science and Numerical Simulation;2024-10

2. Congestion and phase transitions of heterogeneous continuum model with large trucks mixed with conventional vehicles and ACC vehicles;Chaos, Solitons & Fractals;2024-08

3. Cyber-attacks on the optimal velocity and its variation by bifurcation analyses;The European Physical Journal B;2023-12