RT journal article T1 Linear Chaos for the Quick- Thinking- Driver model A1 Conejero, J.A. A1 Murillo Arcila, Marina A1 Seoane-Sepúlveda, J.B. A2 Matemáticas K1 Death model K1 Birth-and-death problem K1 Car-following K1 Quick- Thinking-Driver K1 Devaney chaos K1 Distributional chaos K1 C0-semigroups AB In recent years, the topic of car-following has experimented an increasedimportance in tra c engineering and safety research. This has become a veryinteresting topic because of the development of driverless cars.Driving models which describe the interaction between adjacent vehicles in thesame 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, andthen chaos appears. We show that an in nite-dimensional version of the linearmodel presents a chaotic behaviour using the same approach as for studying chaosof death models of cell growth. PB Springer SN 0037-1912 YR 2016 FD 2016 LK http://hdl.handle.net/10498/35473 UL http://hdl.handle.net/10498/35473 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026