RT Journal Article
T1 Distributional chaos for the Forward and Backward Control traffic model
A1 Barrachina, X.
A1 Conejero, J. A.
A1 Murillo Arcila, M.
A1 Seoane Sepúlveda, Juan Benigno
AB The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery model were already known to be chaotic. We consider the linear Forward and Backward Control traffic model for an infinite number of cars on a track. We show the existence of solutions with a chaotic behaviour by using some results of linear dynamics of C0-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions.
PB Elsevier Science
SN 0024-3795
YR 2015
FD 2015-08
LK https://hdl.handle.net/20.500.14352/24100
UL https://hdl.handle.net/20.500.14352/24100
LA eng
NO ERC grant HEVO
NO FPU program of MEC
NO CNPq
DS Docta Complutense
RD 10 abr 2025