@misc{10498/35524,
year = {2015},
url = {http://hdl.handle.net/10498/35524},
abstract = {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 tra c model for an infinte 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 analyze which initial configurations lead to stable solutions.},
publisher = {Elsevier},
keywords = {Distributional chaos},
keywords = {C0-semigroup},
keywords = {Devaney-chao},
keywords = {Birth-and-death models},
keywords = {Car-following models},
title = {Distributional chaos for the Forward and Backward Control traffic model.},
doi = {10.1016/J.LAA.2015.04.010},
author = {Barrachina, X. and Conejero, J.A. and Murillo Arcila, Marina and Seoane-Sepúlveda, J.B.},
}