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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.

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