Stability analysis and simulation based on an improved Aw-Rascle model

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 plan...

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Bibliographic Details
Published in:	ITM web of conferences Vol. 45; p. 1051
Main Authors:	Hu, Jiadi, Ai, Wenhuan, Liu, Dawei
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Les Ulis EDP Sciences 2022
Subjects:	aw-rascle model Differential equations Dynamical systems nonlinear traffic phenomenon Ordinary differential equations phase plane analysis Stability analysis Substitutes Traveling waves
Online Access:	Get full text
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Summary:	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.
ISSN:	2271-2097 2431-7578 2271-2097
DOI:	10.1051/itmconf/20224501051