%0 Journal Article 
%A Barrachina, X.
%A Conejero, J.A.
%A Murillo Arcila, Marina
%A Seoane-Sepúlveda, J.B.
%T Distributional chaos for the Forward and Backward Control traffic model.
%D 2015
%@ 0024-3795
%U http://hdl.handle.net/10498/35524
%X 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.
%K Distributional chaos
%K C0-semigroup
%K Devaney-chao
%K Birth-and-death models
%K Car-following models
%~ Universidad de Cádiz