ITM Web Conf.
Volume 45, 20222021 3rd International Conference on Computer Science Communication and Network Security (CSCNS2021)
|Number of page(s)||6|
|Section||Computer Technology and System Design|
|Published online||19 May 2022|
Equilibrium Point analysis of macro traffic flow model considering the influence of front and rear lights
College of Computer Science and Engineering, Northwest Normal University, Lanzhou, Gansu, 730070, China
2 College of Electrical Engineering, Lanzhou Institute of Technology, Lanzhou, Gansu, 730050, China
* Corresponding author: firstname.lastname@example.org
In this paper, the traveling wave solution of the macro continuum model considering the automobile tail lamp effect is obtained by using the phase plane analysis method, the type of equilibrium point of the model is determined, and the stability of the system at the equilibrium point is analyzed. This method can describe and predict the nonlinear traffic phenomena on Expressway from the perspective of system global stability. According to the theory of differential equation, the model is further analyzed to judge the type and stability of equilibrium point. Finally, the simulation diagram is used for numerical simulation. Through numerical verification, it is concluded that the numerical results are consistent with the theoretical analysis.
Key words: Traveling wave substitution / Stability analysis / Phase plan
© 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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