Bibliograph. Daten | Avrutin, Viktor; Dibak, Christoph; Dal Forno, Arianna; Merlone, Ugo: Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition. In: International Journal of Bifurcation and Chaos. Vol. 25(11). Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik. S. 1530031-1530031, englisch. World Scientific, Oktober 2015. DOI: 10.1142/S0218127415300311. Artikel in Zeitschrift.
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CR-Klassif. | G.0 (Mathematics of Computing General)
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Kurzfassung | In this work, we investigate the dynamics of a piecewise linear 2D discontinuous map modeling a simple network showing the Braess paradox. This paradox represents an example in which adding a new route to a specific congested transportation network makes all the travelers worse off in terms of their individual travel time. In the particular case in which the modeled network corresponds to a binary choice situation, the map is defined on two partitions and its dynamics has already been described. In the general case corresponding to a ternary choice, a third partition appears leading to significantly more complex bifurcation structures formed by border collision bifurcations of stable cycles with points located in all three partitions. Considering a map taking a constant value on one of the partitions, we provide a first systematic description of possible dynamics for this case.
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Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
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Eingabedatum | 4. November 2015 |
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