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Bulletin of the Institute of
Mathematics Academia Sinica
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2007 / June Volume 2 No.2
Instability and formation of clustering solutions of traffic flow
Published Date
2007 / June
Title
Instability and formation of clustering solutions of traffic flow
Author
Tong Li
Keyword
Traffic jams, chaos, stop-and-go waves, bifurcation, discrete traveling waves, nonconcavity, Traffic jams, chaos, stop-and-go waves, bifurcation, discrete traveling waves, nonconcavity
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Pagination
281-295
Abstract
We review recent results on tracffic instabilities. An innovative approach to traffic dynamics is proposed. The self-organized oscillatory and chaotic behavior of tracffic flow are identified and formulated. The results agree with the empirical findings for freeway traffic and with the previous numerical simulations. Thus the work gives a justication for observed and simulated traffic instabilities and some insight into their meanings.
AMS Subject
Classification
35B30, 35B50, 35L65, 76H05, 76L05
Received
2005-05-27
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