| Issue |
ITM Web Conf.
Volume 45, 2022
2021 3rd International Conference on Computer Science Communication and Network Security (CSCNS2021)
|
|
|---|---|---|
| Article Number | 01051 | |
| Number of page(s) | 7 | |
| Section | Computer Technology and System Design | |
| DOI | https://doi.org/10.1051/itmconf/20224501051 | |
| Published online | 19 May 2022 | |
Stability analysis and simulation based on an improved Aw-Rascle model
1
College of Computer Science and Engineering, Northwest Normal University, Lanzhou, Gansu, China
2
College of Electrical Engineering, Lanzhou Institute of Technology, Lanzhou, Gansu, China
* Corresponding author: 1619406604@qq.com
In this paper, the improved Aw-Rascle model with viscosity term is developed to a new nonlinear dynamical system composed of ordinary differential equations, by using traveling wave substitution and a kind of variable substitution. The stability of the system is discussed by the method of phase plane analysis after getting the travelling-wave solutions, then the final data is simulated by Matlab to verify the analysis conclusion.
Key words: Aw-Rascle model / Nonlinear traffic phenomenon / phase plane analysis
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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