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Hopf bifurcation structure of a generic car-following model with multiple time delays
- Source :
- Transportmetrica A Transport Science; December 2021, Vol. 17 Issue: 4 p878-896, 19p
- Publication Year :
- 2021
-
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.
Details
- Language :
- English
- ISSN :
- 23249935 and 23249943
- Volume :
- 17
- Issue :
- 4
- Database :
- Supplemental Index
- Journal :
- Transportmetrica A Transport Science
- Publication Type :
- Periodical
- Accession number :
- ejs58451944
- Full Text :
- https://doi.org/10.1080/23249935.2020.1818002