期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 479, 期 -, 页码 202-215出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2015.04.010
关键词
Distributional chaos; C-0-semigroup; Devaney-chaos
资金
- ERC grant HEVO [2177691]
- FPU program of MEC [AP 2010-4361]
- [MTM2013-47093-P]
The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes-Herman-Rothery model were already known to be chaotic. We consider the linear Forward and Backward Control traffic model for an infinite number of cars on a track. We show the existence of solutions with a chaotic behaviour by using some results of linear dynamics of Co-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions. (C) 2015 Elsevier Inc. All rights reserved.
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