@article{ref1,
title="Hopf bifurcation structure of a generic car-following model with multiple time delays",
journal="Transportmetrica A: transport science",
year="2021",
author="Ngoduy, Dong and Li, Tenglong",
volume="17",
number="4",
pages="878-896",
abstract="This paper establishes a general bifurcation structure of a car-following model with multiple time delays. By applying the Hopf theorem, analytical calculation and numerical simulation are carried out for some typical car-following models. Our results allow a discussion of the impact of multiple time delays and other model parameters on Hopf bifurcation in various existing car-following models with delays, from elementary car-following models such as the optimal velocity model, the full velocity difference model and the intelligent driver model, to Cooperative Adaptive Cruise Control car-following models. It is particularly interesting to observe that the multiple time delays cancel out the impact of each other on the traffic instability.<p /> <p>Language: en</p>",
language="en",
issn="2324-9935",
doi="10.1080/23249935.2020.1818002",
url="http://dx.doi.org/10.1080/23249935.2020.1818002"
}