Synchronization Transition and Traffic Congestion in One-Dimensional Traffic Model

Joint Authors

Xin, Zhi
Xu, Jian

Source

Abstract and Applied Analysis

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-03-22

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Xin, Zhi& Xu, Jian. 2015. Synchronization Transition and Traffic Congestion in One-Dimensional Traffic Model. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1051991

Modern Language Association (MLA)

Xin, Zhi& Xu, Jian. Synchronization Transition and Traffic Congestion in One-Dimensional Traffic Model. Abstract and Applied Analysis No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1051991

American Medical Association (AMA)

Xin, Zhi& Xu, Jian. Synchronization Transition and Traffic Congestion in One-Dimensional Traffic Model. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1051991

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1051991