Variational Principles in the Analysis of Traffic Flows (Why it is Worth to Go Against the Flow)

M. Blank

2000, v.6, №3, 287-304


By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows, for which we also obtain a complete description of their limit (in time) behavior in the space of configurations. Using these results we study the motion of a speedy passive particle (tracer) moving along/against the flow of slow particles and demonstrate that the latter case might be more efficient.

Keywords: traffic flow,dynamical system,variational principle,skew product map


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