2026-06-08T01:07:25Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/244852025-04-07T18:22:42Zcom_20.500.14352_14col_20.500.14352_15

Linear chaos for the Quick-Thinking-Driver model. Conejero, José Antonio Murillo-Arcilla, Marina Seoane Sepúlveda, Juan Benigno In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google driverless cars, http://en.wikipedia.org/wiki/Google_driverless_car). 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 infinite-dimensional version of the linear model presents a chaotic behaviour using the same approach as for studying chaos of death models of cell growth. 2023-06-18T06:52:56Z 2023-06-18T06:52:56Z 2023-06-18T06:52:56Z 2016 journal article https://hdl.handle.net/20.500.14352/24485 0037-1912 10.1007/s00233-015-9704-6 eng MTM2013-47093-P restricted access Springer