%0 Journal Article
%A Barrachina, X.
%A Conejero, J. A.
%A Murillo Arcila, M.
%A Seoane-Sepúlveda, Juan B.
%T Distributional chaos for the Forward and Backward Control traffic model
%D 2015
%@ 0024-3795
%U https://hdl.handle.net/20.500.14352/24100
%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 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.
%~