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RESEARCH PRODUCT

Attracting sets in a deterministic discrete traffic model

P DauscherP Beckmann

subject

Set (abstract data type)Discrete mathematicsNonlinear systemAttractorDiagramTraffic modelGeneral Physics and AstronomyApplied mathematicsStatistical and Nonlinear PhysicsExtension (predicate logic)Mathematical PhysicsMathematics

description

The fundamental diagram of the Nagel-Schreckenberg traffic model is derived analytically for the deterministic case using methods and concepts from nonlinear dynamics. It is shown that the possible states of the long-term behaviour form a globally attractive subset which can be well characterized. This attractive set of states is composed of coexisting attractors. The attractor concept is applied to a slow-to-start extension of the model. For this example it is shown that the attractive set consists of coexisting attractors with different macroscopic properties, that can be determined analytically.

yearjournalcountryeditionlanguage
2001-02-02Journal of Physics A: Mathematical and General
https://doi.org/10.1088/0305-4470/34/6/302