@misc{10498/35473, year = {2016}, url = {http://hdl.handle.net/10498/35473}, abstract = {In recent years, the topic of car-following has experimented an increased importance in tra c engineering and safety research. This has become a very interesting topic because of the development of driverless cars. Driving models which describe the interaction between adjacent vehicles in the same lane have a big interest in simulation modeling, such as the Quick-Thinking- Driver model. A non-linear version of it can be given using the logistic map, and then chaos appears. We show that an in nite-dimensional version of the linear model presents a chaotic behaviour using the same approach as for studying chaos of death models of cell growth.}, publisher = {Springer}, keywords = {Death model}, keywords = {Birth-and-death problem}, keywords = {Car-following}, keywords = {Quick- Thinking-Driver}, keywords = {Devaney chaos}, keywords = {Distributional chaos}, keywords = {C0-semigroups}, title = {Linear Chaos for the Quick- Thinking- Driver model}, doi = {10.1007/S00233-015-9704-6}, author = {Conejero, J.A. and Murillo Arcila, Marina and Seoane-Sepúlveda, J.B.}, }