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Exact analysis of dynamical systems arising in models of traffic flow. (English. Russian original) Zbl 0970.37062
Russ. Math. Surv. 55, No. 3, 562-563 (2000); translation from Usp. Mat. Nauk 55, No. 3, 167-168 (2000).
From the text: By means of the technique of dual maps exact results have been obtained on the dynamics of some models of traffic flows, and a complete description of their limit regimes in configuration space has also been obtained. We shall use these results to study the motion of a passive fast particle moving with or against a flow of slow particles.

MSC:
37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
90B20 Traffic problems in operations research
37N40 Dynamical systems in optimization and economics
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