Barrachina Civera, XavierConejero, J. AlbertoMurillo Arcila, MarinaSeoane-Sepulveda, Juan B.2016-06-032016-06-032015-08-150024-3795https://riunet.upv.es/handle/10251/65203[EN] 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-semigroup. In contrast, we also analyse which initial configurations lead to stable solutions.Reserva de todos los derechosDistributional chaosC0-semigroupDevaney chaosDIDACTICA DE LA MATEMATICAMATEMATICA APLICADAArtículo10.1016/j.laa.2015.04.010Abierto