Volume 43 Issue 1
Jan.  2013
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XU Jian, XU Ronggai. REVIEW OF TIME-DELAYED CAR FOLLOWING MODELS AND BIFURCATION PHENOMENA[J]. Advances in Mechanics, 2013, 43(1): 29-38. doi: 10.6052/1000-0992-12-012
Citation: XU Jian, XU Ronggai. REVIEW OF TIME-DELAYED CAR FOLLOWING MODELS AND BIFURCATION PHENOMENA[J]. Advances in Mechanics, 2013, 43(1): 29-38. doi: 10.6052/1000-0992-12-012

REVIEW OF TIME-DELAYED CAR FOLLOWING MODELS AND BIFURCATION PHENOMENA

doi: 10.6052/1000-0992-12-012
Funds:  The project was supported by the State Key Program of National Natural Science Foundation of China(11032009),and the Fundamental Research Funds for the Central Universities and Shanghai Leading Academic Discipline Project(B302).
More Information
  • Corresponding author: XU Jian
  • Received Date: 2012-02-19
  • Rev Recd Date: 2012-11-19
  • Publish Date: 2013-01-24
  • In car following theory of traffic dynamics, human drivers need a finite period of time to process stimuli of preceding vehicles and make a decision, which is attributed to human physiological factors. Since mechanical devices also need time for sensing, computing and actuating, time delay seems unavoidable even in autonomous cruise control systems. As a result time delays should be considered as an inherent factor in car following theories of traffic dynamics. One of the key problems in need of study is how time delays affect the traffic flow patterns and their evolutions. In this paper, time-delayed car following models which are continuous in both time and space are firstly surveyed. Then the progress in the dynamic behaviors based on bifurcation theory is reviewed. Defects of these models and the corresponding bifurcation research are pointed out in this summary. Finally we conclude that research on dynamic behaviors of time-delayed car following models with traffic flow parameters based on bifurcation theory are of great significance and necessity. By means of such research, the underlying mechanisms of traffic jam formation and evolution can be better understood. Traffic jam patterns can be categorized from a synchronization perspective through classifying dynamic behaviors in parameter plane, and hence, different traffic control strategies can be put forward by traffic management department based on the above jam patterns.

     

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