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 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.
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:
Download Full Content