Journal article
Analytical solutions of pattern formation for a class of discrete Aw–Rascle–Zhang traffic models
NASU - Bogolyubov Institute for Theoretical Physics1
Department of Applied Mathematics and Computer Science, Technical University of Denmark2
Department of Physics, Technical University of Denmark3
Dynamical Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark4
Center for Intelligent Drug Delivery and Sensing Using Microcontainers and Nanomechanics, Department of Health Technology, Technical University of Denmark5
Plasma Physics and Fusion Energy, Department of Physics, Technical University of Denmark6
A follow-the-leader model of traffic flow is considered in the framework of the discrete Aw–Rascle–Zhang model which is a combination of the nonlinear General Motors model and the Optimal Velocity model. In this model, which is studied on a closed loop, stable and unstable pulse or jam patterns emerge.
Analytical investigations using truncated Fourier analysis show that the appearance of the jam patterns is due to supercritical Hopf bifurcations. These results are confirmed and supplemented by numerical simulations. In addition, a link between the discrete Aw–Rascle–Zhang model and the modified Optimal Velocity model is established.
| Language: | English |
|---|---|
| Year: | 2019 |
| Pages: | 391-402 |
| ISSN: | 18787274 and 10075704 |
| Types: | Journal article |
| DOI: | 10.1016/j.cnsns.2019.02.026 |
| ORCIDs: | Christiansen, Peter L. , Sørensen, Mads Peter and Rasmussen, Jens Juul |
