Publikationen BV: Bibliographie 2015 BibTeX
@article {ART-2015-12,
author = {Viktor Avrutin and Christoph Dibak and Arianna Dal Forno and Ugo Merlone},
title = {{Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition}},
journal = {International Journal of Bifurcation and Chaos},
publisher = {World Scientific},
volume = {25},
number = {11},
pages = {1530031--1530031},
type = {Artikel in Zeitschrift},
month = {Oktober},
year = {2015},
doi = {10.1142/S0218127415300311},
language = {Englisch},
cr-category = {G.0 Mathematics of Computing General},
department = {Universit{\"a}t Stuttgart, Institut f{\"u}r Parallele und Verteilte Systeme, Bildverstehen},
abstract = {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.},
url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=ART-2015-12&engl=0}
}