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Phase Plane Analysis Method of Nonlinear Traffic Phenomena
Joint Authors
Ai, Wenhuan
Shi, Zhongke
Liu, Dawei
Source
Journal of Control Science and Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
A new phase plane analysis method for analyzing the complex nonlinear traffic phenomena is presented in this paper.
This method makes use of variable substitution to transform a traditional traffic flow model into a new model which is suitable for the analysis in phase plane.
According to the new model, various traffic phenomena, such as the well-known shock waves, rarefaction waves, and stop-and-go waves, are analyzed in the phase plane.
From the phase plane diagrams, we can see the relationship between traffic jams and system instability.
So the problem of traffic flow could be converted into that of system stability.
The results show that the traffic phenomena described by the new method is consistent with that described by traditional methods.
Moreover, the phase plane analysis highlights the unstable traffic phenomena we are chiefly concerned about and describes the variation of density or velocity with time or sections more clearly.
American Psychological Association (APA)
Ai, Wenhuan& Shi, Zhongke& Liu, Dawei. 2015. Phase Plane Analysis Method of Nonlinear Traffic Phenomena. Journal of Control Science and Engineering،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1067785
Modern Language Association (MLA)
Ai, Wenhuan…[et al.]. Phase Plane Analysis Method of Nonlinear Traffic Phenomena. Journal of Control Science and Engineering No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1067785
American Medical Association (AMA)
Ai, Wenhuan& Shi, Zhongke& Liu, Dawei. Phase Plane Analysis Method of Nonlinear Traffic Phenomena. Journal of Control Science and Engineering. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1067785
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067785