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arXiv · 1503.07745

Linear chaos for the Quick-Thinking-Driver model

J. A. Conejero·M. Murillo Arcila·J. B. Seoane-Sepúlveda
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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 \cite{google_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 infinite-dimensional version of the linear model presents a chaotic behavior using the same approach as for studying chaos of death models of cell growth.

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J. A. Conejero, M. Murillo Arcila, J. B. Seoane-Sepúlveda. 2015-03-24. Linear chaos for the Quick-Thinking-Driver model. https://arxiv.org/abs/1503.07745

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