Open Access
2015 Synchronization Transition and Traffic Congestion in One-Dimensional Traffic Model
Zhi Xin, Jian Xu
Abstr. Appl. Anal. 2015(SI13): 1-10 (2015). DOI: 10.1155/2015/167430


A nonlinear car-following model with driver’s reaction time is studied from the synchronization transition viewpoint. We investigate the traffic congestion from the view of chaos system synchronization transition. Our result shows that the uniform flow corresponds to the complete synchronization and the stop-and-go congested state corresponds to the lag synchronization of the vehicles. An analytical criterion for synchronization manifolds stability is obtained; the analytical result and the numerical result are consistent. The synchronization transition is also trigged by the driver’s reaction time. We analyze the car-following model by the use of the nonlinear analysis method and derive the modified KdV equation describing the kink density wave.


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Zhi Xin. Jian Xu. "Synchronization Transition and Traffic Congestion in One-Dimensional Traffic Model." Abstr. Appl. Anal. 2015 (SI13) 1 - 10, 2015.


Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1351.90073
MathSciNet: MR3332055
Digital Object Identifier: 10.1155/2015/167430

Rights: Copyright © 2015 Hindawi

Vol.2015 • No. SI13 • 2015
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