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Nonlinear Analysis on Traffic Flow Based on Catastrophe and Chaos Theory
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We applied catastrophe and chaos theory to analyze the traffic nonlinear characteristics of expressway condition.
Catastrophe theory was generally used to explore the mathematical relationships among the traffic data collected from highway conditions, which could not be appropriate for the urban expressway conditions.
Traffic flow data collected from the 3rd ring road expressway in Beijing was used to build flow-density model and speed-density Greenshields model.
Then the density was discussed based on the traffic wave speed function with cusp catastrophe theory; in particular, density conditions on median lanes and shoulder lanes were deeply discussed.
Meanwhile the chaotic characteristics were analyzed based on the traffic temporal sequence data collected from 29 detectors located at the 3rd ring road expressway, and C-C method was used to reconstruct the phase space and the largest Lyapunov exponents were estimated by Wolf method and the small data sets method.
The results indicated that the traffic operation catastrophe density on the median lanes was a bit higher than that on the shoulder lanes; additionally chaotic characteristics obviously existed in the local corridor composed of 29 detectors in the 3rd ring road expressway traffic flow system.
American Psychological Association (APA)
Gu, Jian& Chen, Shuyan. 2014. Nonlinear Analysis on Traffic Flow Based on Catastrophe and Chaos Theory. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1017927
Modern Language Association (MLA)
Gu, Jian& Chen, Shuyan. Nonlinear Analysis on Traffic Flow Based on Catastrophe and Chaos Theory. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1017927
American Medical Association (AMA)
Gu, Jian& Chen, Shuyan. Nonlinear Analysis on Traffic Flow Based on Catastrophe and Chaos Theory. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1017927
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1017927