Instability and formation of clustering solutions of traffic flow
by Tong Li  

Vol. 2 No. 2 (2007) P.281~P.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 identified and formulated. The results agree with the empirical findings for freeway traffic and with the previous numerical simulations. Thus the work gives a justication for observed and simulated traffic instabilities and some insight into their meanings.

KEYWORDS
Traffic jams, chaos, stop-and-go waves, bifurcation, discrete traveling waves, nonconcavity

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35B30, 35B50, 35L65, 76H05, 76L05

MILESTONES

Received: 2004-11-24
Revised : 2005-05-27
Accepted:

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