Phase Plane Analysis of Traffic Flow Evolution Based on a Macroscopic Traffic Flow Model
- 42 Downloads
In this paper, a new phase plane analysis method is proposed to study the nonlinear phenomena of traffic flow. Most of the papers describe only one or several traffic phenomena and do not analyze all of them from the perspective of system stability. Therefore, this paper studies the phase plane analysis of traffic flow phenomenon from the perspective of traffic system stability, and describes various complicated nonlinear traffic phenomena through phase plane analysis.
KeywordsPhase plane diagrams Stop-and-go waves Stability analysis Phase plane analysis
This work is partially supported by the National Natural Science Foundation of China under the Grant No. 61863032 and the China Postdoctoral Science Foundation Funded Project (Project No.: 2018M633653XB) and the “Qizhi” Personnel Training Support Project of Lanzhou Institute of Technology (Grant No. 2018QZ-11) and the National Natural Science Foundation of China under the Grant No. 11965019.
Conflict of Interests
The authors declare that there is no conflict of interests regarding the publication of this paper.
- 2.Liu, D.W., Shi, Z.K., Ai, W.H.: Anew car-following model accounting for impact of strong wind. Math. Prob. Eng. 1, 1–12 (2017)Google Scholar