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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