Congestion analysis in a modified coupled map car-following model considering the velocity difference and headway difference under V2X environment

With the incredible advancement of information technology, the communication between vehicles (V2V), vehicle and infrastructure (V2I) improves the traffic efficiency and safety. In this work, we present a modified coupled map car-following model with the control terms of the velocity difference and headway difference under V2X (vehicle to everything) environment. Then we study the impact of the control term on the stability and dynamic performance, respectively. The stability of the modified model is analyzed and the conditions for the stability of the traffic flow are presented. Besides, the simulations are carried out from the micro and macro perspectives. The numerical simulation results are consistent with the theory, and the validity of the model is verified. Moreover, in order to study the macro properties of traffic, through sumo numerical experiments, the evolution of the macro quantity of the traffic system has also been studied.