Linear and nonlinear stability analysis of a car-following model considering velocity difference of two adjacent lanes

2015 ◽  
Vol 84 (1) ◽  
pp. 387-397 ◽  
Author(s):  
Guizhen Yu ◽  
Pengcheng Wang ◽  
Xinkai Wu ◽  
Yunpeng Wang
Keyword(s):  
Stability Analysis ◽  
Nonlinear Stability ◽  
Nonlinear Stability Analysis ◽  
Velocity Difference ◽  
Car Following ◽  
Car Following Model ◽  
Linear And Nonlinear

scholarly journals Stability Analysis of a Car-Following Model on Two Lanes

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yuhan Jia ◽  
Yiman Du ◽  
Jianping Wu
Keyword(s):  
Stability Analysis ◽  
Numerical Simulations ◽  
Soliton Solution ◽  
Nonlinear Stability ◽  
Theoretical Study ◽  
Mkdv Equation ◽  
Car Following ◽  
Good Consistency ◽  
Car Following Model ◽  
Linear And Nonlinear

Considering lateral influence from adjacent lane, an improved car-following model is developed in this paper. Then linear and nonlinear stability analyses are carried out. The modified Korteweg-de Vries (MKdV) equation is derived with the kink-antikink soliton solution. Numerical simulations are implemented and the result shows good consistency with theoretical study.

scholarly journals Linear and nonlinear stability analysis of binary viscoelastic fluid convection

2013 ◽  
Vol 37 (16-17) ◽  
pp. 8162-8178 ◽  
Author(s):  
Mahesha Narayana ◽  
Precious Sibanda ◽  
Pradeep G. Siddheshwar ◽  
G. Jayalatha
Keyword(s):  
Stability Analysis ◽  
Viscoelastic Fluid ◽  
Nonlinear Stability ◽  
Nonlinear Stability Analysis ◽  
Fluid Convection ◽  
Linear And Nonlinear

scholarly journals Driver’s Anticipation and Memory Driving Car-Following Model

2020 ◽  
Vol 2020 ◽  
pp. 1-12 ◽  
Author(s):  
Ammar Jafaripournimchahi ◽  
Lu Sun ◽  
Wusheng Hu
Keyword(s):  
Traffic Flow ◽  
Nonlinear Stability ◽  
Relative Velocity ◽  
Mkdv Equation ◽  
Signalized Intersection ◽  
Stability Conditions ◽  
Car Following ◽  
Car Following Model ◽  
Linear And Nonlinear ◽  
The Stability

We developed a new car-following model to investigate the effects of driver anticipation and driver memory on traffic flow. The changes of headway, relative velocity, and driver memory to the vehicle in front are introduced as factors of driver’s anticipation behavior. Linear and nonlinear stability analyses are both applied to study the linear and nonlinear stability conditions of the new model. Through nonlinear analysis a modified Korteweg-de Vries (mKdV) equation was constructed to describe traffic flow near the traffic near the critical point. Numerical simulation shows that the stability of traffic flow can be effectively enhanced by the effect of driver anticipation and memory. The starting and breaking process of vehicles passing through the signalized intersection considering anticipation and driver memory are presented. All results demonstrate that the AMD model exhibit a greater stability as compared to existing car-following models.

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