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Autor:
Rainer Berkemer
Publikováno v:
Digitale Bildung und Künstliche Intelligenz in Deutschland ISBN: 9783658305246
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::317ffc3685192aed800d67c94fbad30d
https://doi.org/10.1007/978-3-658-30525-3_10
https://doi.org/10.1007/978-3-658-30525-3_10
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 13:1202-1238
We introduce a general formulation for an implicit equation-free method in the setting of slow-fast systems. First, we give a rigorous convergence result for equation-free analysis showing that the implicitly defined coarse-level time stepper converg
Autor:
Yuri Gaididei, Carlos Gorria, Atsushi Kawamoto, Jens Starke, Peter Leth Christiansen, Mads Peter Sørensen, Rainer Berkemer
Publikováno v:
Gaididei, Y B, Gorria, C, Berkemer, R, Christiansen, P L, Kawamoto, A, Sørensen, M P & Starke, J 2013, ' Stochastic control of traffic patterns ', Networks and Heterogeneous Media, vol. 8, no. 1, pp. 261-273 . https://doi.org/10.3934/nhm.2013.8.261
A stochastic modulation of the safety distance can reduce traffic jams. It is found that the effect of random modulation on congestive flow formation depends on the spatial correlation of the noise. Jam creation is suppressed for highly correlated no
Autor:
Mads Peter Sørensen, Carlos Gorria, Atsushi Kawamoto, Shiga Takahiro, Rainer Berkemer, Yu. B. Gaididei, Peter Leth Christiansen, Jens Starke
Publikováno v:
Gaididei, Y B, Gorria, C, Berkemer, R, Kawamoto, A, Shiga, T, Christiansen, P L, Sørensen, M P & Starke, J 2013, ' Controlling traffic jams by time modulating the safety distance ', Physical Review E, vol. 88, no. 4, 042803 . https://doi.org/10.1103/PhysRevE.88.042803
The possibility of controlling traffic dynamics by applying high-frequency time modulation of traffic flow parameters is studied. It is shown that the region of the car density where the uniform (free) flow is unstable changes in the presence of time
Autor:
Yuri Gaididei, Jens Starke, Shiga Takahiro, Mads Peter Sørensen, Jean-Guy Caputo, Atsushi Kawamoto, Peter Leth Christiansen, Rainer Berkemer
Publikováno v:
Gaididei, Y B, Berkemer, R, Caputo, J G, Christiansen, P L, Kawamoto, A, Shiga, T, Sørensen, M P & Starke, J 2009, ' Analytical solutions of jam pattern formation on a ring for a class of optimal velocity traffic models ', New Journal of Physics, vol. 11, pp. 073012 . https://doi.org/10.1088/1367-2630/11/7/073012
A follow-the-leader model of traffic flow on a closed loop is considered in the framework of the extended optimal velocity (OV) model where the driver reacts to both the following and the preceding car. Periodic wave train solutions that describe the