RT journal article
T1 Distributional chaos for the Forward and Backward Control traffic model.
A1 Barrachina, X.
A1 Conejero, J.A.
A1 Murillo Arcila, Marina
A1 Seoane-Sepúlveda, J.B.
A2 Matemáticas
K1 Distributional chaos
K1 C0-semigroup
K1 Devaney-chao
K1 Birth-and-death models
K1 Car-following models
AB The interest in car-following models has increased in the last years due to its connectionwith vehicle-to-vehicle communications and the development of driverless cars. Some non-linearmodels such as the Gazes-Herman Rothery model were already known to be chaotic. We considerthe linear Forward and Backward Control tra c model for an infinte number of cars on a track. Weshow the existence of solutions with a chaotic behaviour by using some results of linear dynamicsof C0-semigroups. In contrast, we also analyze which initial configurations lead to stable solutions.
PB Elsevier
SN 0024-3795
YR 2015
FD 2015
LK http://hdl.handle.net/10498/35524
UL http://hdl.handle.net/10498/35524
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026