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Dynamics of traffic jams: Order and chaos. (English) Zbl 0980.90020
The author introduces a new multi lane traffic flow model, which reflects dynamics in space of configurations. Given \(K\) lanes, an infinite sequence \(X=(\dots, x(-1)\), \(x(0)\), \(x(1), \dots)\) with \(X(i)\in \{0,1, \dots, K\}\) models the actual situation on an (infinite) \(K\)-lane road. The traffic flow is governed by the operators \(G\) with \[ T(X)(i): =x(i)+ \min\bigl\{ x(i-1), K-x(i)\bigr\} -\min\bigl\{ x(i),K-x (i+1)\bigr\} , \] which allows bypassing and represents a conservation condition.
The focus is on special subspaces, which are rigorously analyzed with respect to limit behaviour, estimates of the transient period, traffic jams and topological entropy.

90B20 Traffic problems in operations research
37N40 Dynamical systems in optimization and economics
37A60 Dynamical aspects of statistical mechanics
37B40 Topological entropy