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Linear chaos for the Quick-Thinking-Driver model.

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Conejero, Jose A. and Murillo-Arcilla, Mª and Seoane-Sepúlveda, Juan B. (2016) Linear chaos for the Quick-Thinking-Driver model. Semigroup forum, 92 (2). pp. 486-493. ISSN 0037-1912

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Official URL: http://link.springer.com/article/10.1007%2Fs00233-015-9704-6


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Birth-and-death problem; C0-semigroups; Car-following; Death model; Devaney chaos; Distributional chaos; Quick-Thinking-Driver
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:37735
Deposited On:19 May 2016 08:56
Last Modified:25 Nov 2016 12:47

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